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Finding the Third Proportional to 1,123,500 and 2,404,464

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Solution

The third proportional to 1,123,500 and 2,404,464 is: 5,145,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,500 : 2,404,464 = 2,404,464 : x
  2. Step 2: Convert to fraction form
    1,123,500/2,404,464 = 2,404,464/x
  3. Step 3: Cross multiply
    1,123,500x = 2,404,464 × 2,404,464
  4. Step 4: Simplify right side
    1,123,500x = 5,781,447,127,296
  5. Step 5: Solve for x
    x = 5,781,447,127,296/1,123,500
  6. Step 6: Final answer
    x = 5,145,925.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.