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Finding the Third Proportional to 721,896 and 1,571,186

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Solution

The third proportional to 721,896 and 1,571,186 is: 3,419,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,896 : 1,571,186 = 1,571,186 : x
  2. Step 2: Convert to fraction form
    721,896/1,571,186 = 1,571,186/x
  3. Step 3: Cross multiply
    721,896x = 1,571,186 × 1,571,186
  4. Step 4: Simplify right side
    721,896x = 2,468,625,446,596
  5. Step 5: Solve for x
    x = 2,468,625,446,596/721,896
  6. Step 6: Final answer
    x = 3,419,641.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.