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Finding the Third Proportional to 3,094,340 and 4,730,448

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Solution

The third proportional to 3,094,340 and 4,730,448 is: 7,231,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094,340 : 4,730,448 = 4,730,448 : x
  2. Step 2: Convert to fraction form
    3,094,340/4,730,448 = 4,730,448/x
  3. Step 3: Cross multiply
    3,094,340x = 4,730,448 × 4,730,448
  4. Step 4: Simplify right side
    3,094,340x = 22,377,138,280,704
  5. Step 5: Solve for x
    x = 22,377,138,280,704/3,094,340
  6. Step 6: Final answer
    x = 7,231,635.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.