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Finding the Third Proportional to 2,408,646 and 3,522,541

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Solution

The third proportional to 2,408,646 and 3,522,541 is: 5,151,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,646 : 3,522,541 = 3,522,541 : x
  2. Step 2: Convert to fraction form
    2,408,646/3,522,541 = 3,522,541/x
  3. Step 3: Cross multiply
    2,408,646x = 3,522,541 × 3,522,541
  4. Step 4: Simplify right side
    2,408,646x = 12,408,295,096,681
  5. Step 5: Solve for x
    x = 12,408,295,096,681/2,408,646
  6. Step 6: Final answer
    x = 5,151,564.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.