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Finding the Third Proportional to 3,466,413 and 5,071,246

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Solution

The third proportional to 3,466,413 and 5,071,246 is: 7,419,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,413 : 5,071,246 = 5,071,246 : x
  2. Step 2: Convert to fraction form
    3,466,413/5,071,246 = 5,071,246/x
  3. Step 3: Cross multiply
    3,466,413x = 5,071,246 × 5,071,246
  4. Step 4: Simplify right side
    3,466,413x = 25,717,535,992,516
  5. Step 5: Solve for x
    x = 25,717,535,992,516/3,466,413
  6. Step 6: Final answer
    x = 7,419,062.87

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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.