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Finding the Third Proportional to 426,190 and 647,061

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Solution

The third proportional to 426,190 and 647,061 is: 982,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,190 : 647,061 = 647,061 : x
  2. Step 2: Convert to fraction form
    426,190/647,061 = 647,061/x
  3. Step 3: Cross multiply
    426,190x = 647,061 × 647,061
  4. Step 4: Simplify right side
    426,190x = 418,687,937,721
  5. Step 5: Solve for x
    x = 418,687,937,721/426,190
  6. Step 6: Final answer
    x = 982,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.