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Finding the Third Proportional to 1,031,564 and 2,242,472

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Solution

The third proportional to 1,031,564 and 2,242,472 is: 4,874,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,564 : 2,242,472 = 2,242,472 : x
  2. Step 2: Convert to fraction form
    1,031,564/2,242,472 = 2,242,472/x
  3. Step 3: Cross multiply
    1,031,564x = 2,242,472 × 2,242,472
  4. Step 4: Simplify right side
    1,031,564x = 5,028,680,670,784
  5. Step 5: Solve for x
    x = 5,028,680,670,784/1,031,564
  6. Step 6: Final answer
    x = 4,874,812.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.