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Finding the Third Proportional to 649,694 and 999,898

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Solution

The third proportional to 649,694 and 999,898 is: 1,538,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,694 : 999,898 = 999,898 : x
  2. Step 2: Convert to fraction form
    649,694/999,898 = 999,898/x
  3. Step 3: Cross multiply
    649,694x = 999,898 × 999,898
  4. Step 4: Simplify right side
    649,694x = 999,796,010,404
  5. Step 5: Solve for x
    x = 999,796,010,404/649,694
  6. Step 6: Final answer
    x = 1,538,872.16

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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.