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Finding the Third Proportional to 650,423 and 1,000,979

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Solution

The third proportional to 650,423 and 1,000,979 is: 1,540,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,423 : 1,000,979 = 1,000,979 : x
  2. Step 2: Convert to fraction form
    650,423/1,000,979 = 1,000,979/x
  3. Step 3: Cross multiply
    650,423x = 1,000,979 × 1,000,979
  4. Step 4: Simplify right side
    650,423x = 1,001,958,958,441
  5. Step 5: Solve for x
    x = 1,001,958,958,441/650,423
  6. Step 6: Final answer
    x = 1,540,472.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.