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Finding the Third Proportional to 592,301.11 and 909,839.46

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Solution

The third proportional to 592,301.11 and 909,839.46 is: 1,397,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,301.11 : 909,839.46 = 909,839.46 : x
  2. Step 2: Convert to fraction form
    592,301.11/909,839.46 = 909,839.46/x
  3. Step 3: Cross multiply
    592,301.11x = 909,839.46 × 909,839.46
  4. Step 4: Simplify right side
    592,301.11x = 827,807,844,679.04
  5. Step 5: Solve for x
    x = 827,807,844,679.04/592,301.11
  6. Step 6: Final answer
    x = 1,397,613.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.