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Finding the Third Proportional to 731,970 and 1,557,252

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Solution

The third proportional to 731,970 and 1,557,252 is: 3,313,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,970 : 1,557,252 = 1,557,252 : x
  2. Step 2: Convert to fraction form
    731,970/1,557,252 = 1,557,252/x
  3. Step 3: Cross multiply
    731,970x = 1,557,252 × 1,557,252
  4. Step 4: Simplify right side
    731,970x = 2,425,033,791,504
  5. Step 5: Solve for x
    x = 2,425,033,791,504/731,970
  6. Step 6: Final answer
    x = 3,313,023.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.