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Finding the Third Proportional to 655,462 and 996,877

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Solution

The third proportional to 655,462 and 996,877 is: 1,516,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,462 : 996,877 = 996,877 : x
  2. Step 2: Convert to fraction form
    655,462/996,877 = 996,877/x
  3. Step 3: Cross multiply
    655,462x = 996,877 × 996,877
  4. Step 4: Simplify right side
    655,462x = 993,763,753,129
  5. Step 5: Solve for x
    x = 993,763,753,129/655,462
  6. Step 6: Final answer
    x = 1,516,127.18

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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.