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Finding the Third Proportional to 727,727 and 1,106,279

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Solution

The third proportional to 727,727 and 1,106,279 is: 1,681,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,727 : 1,106,279 = 1,106,279 : x
  2. Step 2: Convert to fraction form
    727,727/1,106,279 = 1,106,279/x
  3. Step 3: Cross multiply
    727,727x = 1,106,279 × 1,106,279
  4. Step 4: Simplify right side
    727,727x = 1,223,853,225,841
  5. Step 5: Solve for x
    x = 1,223,853,225,841/727,727
  6. Step 6: Final answer
    x = 1,681,747.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.