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Finding the Third Proportional to 671,512 and 1,442,413

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Solution

The third proportional to 671,512 and 1,442,413 is: 3,098,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,512 : 1,442,413 = 1,442,413 : x
  2. Step 2: Convert to fraction form
    671,512/1,442,413 = 1,442,413/x
  3. Step 3: Cross multiply
    671,512x = 1,442,413 × 1,442,413
  4. Step 4: Simplify right side
    671,512x = 2,080,555,262,569
  5. Step 5: Solve for x
    x = 2,080,555,262,569/671,512
  6. Step 6: Final answer
    x = 3,098,314.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.