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Finding the Third Proportional to 4,122,748 and 6,419,692

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Solution

The third proportional to 4,122,748 and 6,419,692 is: 9,996,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122,748 : 6,419,692 = 6,419,692 : x
  2. Step 2: Convert to fraction form
    4,122,748/6,419,692 = 6,419,692/x
  3. Step 3: Cross multiply
    4,122,748x = 6,419,692 × 6,419,692
  4. Step 4: Simplify right side
    4,122,748x = 41,212,445,374,864
  5. Step 5: Solve for x
    x = 41,212,445,374,864/4,122,748
  6. Step 6: Final answer
    x = 9,996,353.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.