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Finding the Third Proportional to 753,822 and 1,165,726.13

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Solution

The third proportional to 753,822 and 1,165,726.13 is: 1,802,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,822 : 1,165,726.13 = 1,165,726.13 : x
  2. Step 2: Convert to fraction form
    753,822/1,165,726.13 = 1,165,726.13/x
  3. Step 3: Cross multiply
    753,822x = 1,165,726.13 × 1,165,726.13
  4. Step 4: Simplify right side
    753,822x = 1,358,917,398,507.52
  5. Step 5: Solve for x
    x = 1,358,917,398,507.52/753,822
  6. Step 6: Final answer
    x = 1,802,703.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.