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Finding the Third Proportional to 852,990.75 and 1,282,948.88

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Solution

The third proportional to 852,990.75 and 1,282,948.88 is: 1,929,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,990.75 : 1,282,948.88 = 1,282,948.88 : x
  2. Step 2: Convert to fraction form
    852,990.75/1,282,948.88 = 1,282,948.88/x
  3. Step 3: Cross multiply
    852,990.75x = 1,282,948.88 × 1,282,948.88
  4. Step 4: Simplify right side
    852,990.75x = 1,645,957,815,863.77
  5. Step 5: Solve for x
    x = 1,645,957,815,863.77/852,990.75
  6. Step 6: Final answer
    x = 1,929,631.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.