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Finding the Third Proportional to 761,474 and 1,142,360

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Solution

The third proportional to 761,474 and 1,142,360 is: 1,713,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,474 : 1,142,360 = 1,142,360 : x
  2. Step 2: Convert to fraction form
    761,474/1,142,360 = 1,142,360/x
  3. Step 3: Cross multiply
    761,474x = 1,142,360 × 1,142,360
  4. Step 4: Simplify right side
    761,474x = 1,304,986,369,600
  5. Step 5: Solve for x
    x = 1,304,986,369,600/761,474
  6. Step 6: Final answer
    x = 1,713,763.53

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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.