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Finding the Third Proportional to 655,214 and 987,443

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Solution

The third proportional to 655,214 and 987,443 is: 1,488,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,214 : 987,443 = 987,443 : x
  2. Step 2: Convert to fraction form
    655,214/987,443 = 987,443/x
  3. Step 3: Cross multiply
    655,214x = 987,443 × 987,443
  4. Step 4: Simplify right side
    655,214x = 975,043,678,249
  5. Step 5: Solve for x
    x = 975,043,678,249/655,214
  6. Step 6: Final answer
    x = 1,488,130.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.