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Finding the Third Proportional to 4,542,416 and 6,982,006

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Solution

The third proportional to 4,542,416 and 6,982,006 is: 10,731,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,416 : 6,982,006 = 6,982,006 : x
  2. Step 2: Convert to fraction form
    4,542,416/6,982,006 = 6,982,006/x
  3. Step 3: Cross multiply
    4,542,416x = 6,982,006 × 6,982,006
  4. Step 4: Simplify right side
    4,542,416x = 48,748,407,784,036
  5. Step 5: Solve for x
    x = 48,748,407,784,036/4,542,416
  6. Step 6: Final answer
    x = 10,731,823.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.