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Finding the Third Proportional to 828,331 and 1,281,863

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Solution

The third proportional to 828,331 and 1,281,863 is: 1,983,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,331 : 1,281,863 = 1,281,863 : x
  2. Step 2: Convert to fraction form
    828,331/1,281,863 = 1,281,863/x
  3. Step 3: Cross multiply
    828,331x = 1,281,863 × 1,281,863
  4. Step 4: Simplify right side
    828,331x = 1,643,172,750,769
  5. Step 5: Solve for x
    x = 1,643,172,750,769/828,331
  6. Step 6: Final answer
    x = 1,983,715.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.