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Finding the Third Proportional to 482,142 and 920,526

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Solution

The third proportional to 482,142 and 920,526 is: 1,757,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,142 : 920,526 = 920,526 : x
  2. Step 2: Convert to fraction form
    482,142/920,526 = 920,526/x
  3. Step 3: Cross multiply
    482,142x = 920,526 × 920,526
  4. Step 4: Simplify right side
    482,142x = 847,368,116,676
  5. Step 5: Solve for x
    x = 847,368,116,676/482,142
  6. Step 6: Final answer
    x = 1,757,507.37

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.