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Finding the Third Proportional to 3,486,064 and 4,752,608

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Solution

The third proportional to 3,486,064 and 4,752,608 is: 6,479,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486,064 : 4,752,608 = 4,752,608 : x
  2. Step 2: Convert to fraction form
    3,486,064/4,752,608 = 4,752,608/x
  3. Step 3: Cross multiply
    3,486,064x = 4,752,608 × 4,752,608
  4. Step 4: Simplify right side
    3,486,064x = 22,587,282,801,664
  5. Step 5: Solve for x
    x = 22,587,282,801,664/3,486,064
  6. Step 6: Final answer
    x = 6,479,308.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.