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Finding the Third Proportional to 754,673 and 1,129,017

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Solution

The third proportional to 754,673 and 1,129,017 is: 1,689,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,673 : 1,129,017 = 1,129,017 : x
  2. Step 2: Convert to fraction form
    754,673/1,129,017 = 1,129,017/x
  3. Step 3: Cross multiply
    754,673x = 1,129,017 × 1,129,017
  4. Step 4: Simplify right side
    754,673x = 1,274,679,386,289
  5. Step 5: Solve for x
    x = 1,274,679,386,289/754,673
  6. Step 6: Final answer
    x = 1,689,048.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.