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Finding the Third Proportional to 602,389.13 and 1,309,754.25

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Solution

The third proportional to 602,389.13 and 1,309,754.25 is: 2,847,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,389.13 : 1,309,754.25 = 1,309,754.25 : x
  2. Step 2: Convert to fraction form
    602,389.13/1,309,754.25 = 1,309,754.25/x
  3. Step 3: Cross multiply
    602,389.13x = 1,309,754.25 × 1,309,754.25
  4. Step 4: Simplify right side
    602,389.13x = 1,715,456,195,393.06
  5. Step 5: Solve for x
    x = 1,715,456,195,393.06/602,389.13
  6. Step 6: Final answer
    x = 2,847,754.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.