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Finding the Third Proportional to 728,211 and 1,130,657

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Solution

The third proportional to 728,211 and 1,130,657 is: 1,755,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,211 : 1,130,657 = 1,130,657 : x
  2. Step 2: Convert to fraction form
    728,211/1,130,657 = 1,130,657/x
  3. Step 3: Cross multiply
    728,211x = 1,130,657 × 1,130,657
  4. Step 4: Simplify right side
    728,211x = 1,278,385,251,649
  5. Step 5: Solve for x
    x = 1,278,385,251,649/728,211
  6. Step 6: Final answer
    x = 1,755,514.89

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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.