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Finding the Third Proportional to 754,617 and 1,141,647

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Solution

The third proportional to 754,617 and 1,141,647 is: 1,727,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,617 : 1,141,647 = 1,141,647 : x
  2. Step 2: Convert to fraction form
    754,617/1,141,647 = 1,141,647/x
  3. Step 3: Cross multiply
    754,617x = 1,141,647 × 1,141,647
  4. Step 4: Simplify right side
    754,617x = 1,303,357,872,609
  5. Step 5: Solve for x
    x = 1,303,357,872,609/754,617
  6. Step 6: Final answer
    x = 1,727,177.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.