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Finding the Third Proportional to 489,921.75 and 999,522

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Solution

The third proportional to 489,921.75 and 999,522 is: 2,039,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,921.75 : 999,522 = 999,522 : x
  2. Step 2: Convert to fraction form
    489,921.75/999,522 = 999,522/x
  3. Step 3: Cross multiply
    489,921.75x = 999,522 × 999,522
  4. Step 4: Simplify right side
    489,921.75x = 999,044,228,484
  5. Step 5: Solve for x
    x = 999,044,228,484/489,921.75
  6. Step 6: Final answer
    x = 2,039,191.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.