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Finding the Third Proportional to 2,884,416 and 4,177,908

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Solution

The third proportional to 2,884,416 and 4,177,908 is: 6,051,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,416 : 4,177,908 = 4,177,908 : x
  2. Step 2: Convert to fraction form
    2,884,416/4,177,908 = 4,177,908/x
  3. Step 3: Cross multiply
    2,884,416x = 4,177,908 × 4,177,908
  4. Step 4: Simplify right side
    2,884,416x = 17,454,915,256,464
  5. Step 5: Solve for x
    x = 17,454,915,256,464/2,884,416
  6. Step 6: Final answer
    x = 6,051,455.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.