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Finding the Third Proportional to 597,878 and 996,461

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Solution

The third proportional to 597,878 and 996,461 is: 1,660,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,878 : 996,461 = 996,461 : x
  2. Step 2: Convert to fraction form
    597,878/996,461 = 996,461/x
  3. Step 3: Cross multiply
    597,878x = 996,461 × 996,461
  4. Step 4: Simplify right side
    597,878x = 992,934,524,521
  5. Step 5: Solve for x
    x = 992,934,524,521/597,878
  6. Step 6: Final answer
    x = 1,660,764.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.