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Finding the Third Proportional to 639,963 and 1,374,813

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Solution

The third proportional to 639,963 and 1,374,813 is: 2,953,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,963 : 1,374,813 = 1,374,813 : x
  2. Step 2: Convert to fraction form
    639,963/1,374,813 = 1,374,813/x
  3. Step 3: Cross multiply
    639,963x = 1,374,813 × 1,374,813
  4. Step 4: Simplify right side
    639,963x = 1,890,110,784,969
  5. Step 5: Solve for x
    x = 1,890,110,784,969/639,963
  6. Step 6: Final answer
    x = 2,953,468.85

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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.