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Finding the Third Proportional to 752,419.13 and 1,136,651.06

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Solution

The third proportional to 752,419.13 and 1,136,651.06 is: 1,717,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,419.13 : 1,136,651.06 = 1,136,651.06 : x
  2. Step 2: Convert to fraction form
    752,419.13/1,136,651.06 = 1,136,651.06/x
  3. Step 3: Cross multiply
    752,419.13x = 1,136,651.06 × 1,136,651.06
  4. Step 4: Simplify right side
    752,419.13x = 1,291,975,637,882.38
  5. Step 5: Solve for x
    x = 1,291,975,637,882.38/752,419.13
  6. Step 6: Final answer
    x = 1,717,095.69

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Why These Related Problems?

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