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Finding the Third Proportional to 2,541,258 and 3,727,116

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Solution

The third proportional to 2,541,258 and 3,727,116 is: 5,466,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541,258 : 3,727,116 = 3,727,116 : x
  2. Step 2: Convert to fraction form
    2,541,258/3,727,116 = 3,727,116/x
  3. Step 3: Cross multiply
    2,541,258x = 3,727,116 × 3,727,116
  4. Step 4: Simplify right side
    2,541,258x = 13,891,393,677,456
  5. Step 5: Solve for x
    x = 13,891,393,677,456/2,541,258
  6. Step 6: Final answer
    x = 5,466,345.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.