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Finding the Third Proportional to 461,943 and 987,725

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Solution

The third proportional to 461,943 and 987,725 is: 2,111,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,943 : 987,725 = 987,725 : x
  2. Step 2: Convert to fraction form
    461,943/987,725 = 987,725/x
  3. Step 3: Cross multiply
    461,943x = 987,725 × 987,725
  4. Step 4: Simplify right side
    461,943x = 975,600,675,625
  5. Step 5: Solve for x
    x = 975,600,675,625/461,943
  6. Step 6: Final answer
    x = 2,111,950.34

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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.