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Finding the Third Proportional to 3,663,408 and 5,385,420

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Solution

The third proportional to 3,663,408 and 5,385,420 is: 7,916,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,408 : 5,385,420 = 5,385,420 : x
  2. Step 2: Convert to fraction form
    3,663,408/5,385,420 = 5,385,420/x
  3. Step 3: Cross multiply
    3,663,408x = 5,385,420 × 5,385,420
  4. Step 4: Simplify right side
    3,663,408x = 29,002,748,576,400
  5. Step 5: Solve for x
    x = 29,002,748,576,400/3,663,408
  6. Step 6: Final answer
    x = 7,916,876.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.