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Finding the Third Proportional to 1,071,664 and 1,459,424

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Solution

The third proportional to 1,071,664 and 1,459,424 is: 1,987,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,664 : 1,459,424 = 1,459,424 : x
  2. Step 2: Convert to fraction form
    1,071,664/1,459,424 = 1,459,424/x
  3. Step 3: Cross multiply
    1,071,664x = 1,459,424 × 1,459,424
  4. Step 4: Simplify right side
    1,071,664x = 2,129,918,411,776
  5. Step 5: Solve for x
    x = 2,129,918,411,776/1,071,664
  6. Step 6: Final answer
    x = 1,987,487.13

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.