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Finding the Third Proportional to 812,585 and 1,750,042

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Solution

The third proportional to 812,585 and 1,750,042 is: 3,769,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,585 : 1,750,042 = 1,750,042 : x
  2. Step 2: Convert to fraction form
    812,585/1,750,042 = 1,750,042/x
  3. Step 3: Cross multiply
    812,585x = 1,750,042 × 1,750,042
  4. Step 4: Simplify right side
    812,585x = 3,062,647,001,764
  5. Step 5: Solve for x
    x = 3,062,647,001,764/812,585
  6. Step 6: Final answer
    x = 3,769,017.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.