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Finding the Third Proportional to 601,473 and 1,252,706

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Solution

The third proportional to 601,473 and 1,252,706 is: 2,609,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,473 : 1,252,706 = 1,252,706 : x
  2. Step 2: Convert to fraction form
    601,473/1,252,706 = 1,252,706/x
  3. Step 3: Cross multiply
    601,473x = 1,252,706 × 1,252,706
  4. Step 4: Simplify right side
    601,473x = 1,569,272,322,436
  5. Step 5: Solve for x
    x = 1,569,272,322,436/601,473
  6. Step 6: Final answer
    x = 2,609,048.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.