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Finding the Third Proportional to 674,900,557.88 and 1,051,809,177.38

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Solution

The third proportional to 674,900,557.88 and 1,051,809,177.38 is: 1,639,208,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,900,557.88 : 1,051,809,177.38 = 1,051,809,177.38 : x
  2. Step 2: Convert to fraction form
    674,900,557.88/1,051,809,177.38 = 1,051,809,177.38/x
  3. Step 3: Cross multiply
    674,900,557.88x = 1,051,809,177.38 × 1,051,809,177.38
  4. Step 4: Simplify right side
    674,900,557.88x = 1,106,302,545,610,274,176
  5. Step 5: Solve for x
    x = 1,106,302,545,610,274,176/674,900,557.88
  6. Step 6: Final answer
    x = 1,639,208,225.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.