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Finding the Third Proportional to 1,071,538 and 1,459,231

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Solution

The third proportional to 1,071,538 and 1,459,231 is: 1,987,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,538 : 1,459,231 = 1,459,231 : x
  2. Step 2: Convert to fraction form
    1,071,538/1,459,231 = 1,459,231/x
  3. Step 3: Cross multiply
    1,071,538x = 1,459,231 × 1,459,231
  4. Step 4: Simplify right side
    1,071,538x = 2,129,355,111,361
  5. Step 5: Solve for x
    x = 2,129,355,111,361/1,071,538
  6. Step 6: Final answer
    x = 1,987,195.15

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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.