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Finding the Third Proportional to 655,466 and 996,881

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Solution

The third proportional to 655,466 and 996,881 is: 1,516,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,466 : 996,881 = 996,881 : x
  2. Step 2: Convert to fraction form
    655,466/996,881 = 996,881/x
  3. Step 3: Cross multiply
    655,466x = 996,881 × 996,881
  4. Step 4: Simplify right side
    655,466x = 993,771,728,161
  5. Step 5: Solve for x
    x = 993,771,728,161/655,466
  6. Step 6: Final answer
    x = 1,516,130.09

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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.