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Finding the Third Proportional to 721,361 and 1,539,214

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Solution

The third proportional to 721,361 and 1,539,214 is: 3,284,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,361 : 1,539,214 = 1,539,214 : x
  2. Step 2: Convert to fraction form
    721,361/1,539,214 = 1,539,214/x
  3. Step 3: Cross multiply
    721,361x = 1,539,214 × 1,539,214
  4. Step 4: Simplify right side
    721,361x = 2,369,179,737,796
  5. Step 5: Solve for x
    x = 2,369,179,737,796/721,361
  6. Step 6: Final answer
    x = 3,284,319.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.