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Finding the Third Proportional to 819,612 and 1,679,688

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Solution

The third proportional to 819,612 and 1,679,688 is: 3,442,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,612 : 1,679,688 = 1,679,688 : x
  2. Step 2: Convert to fraction form
    819,612/1,679,688 = 1,679,688/x
  3. Step 3: Cross multiply
    819,612x = 1,679,688 × 1,679,688
  4. Step 4: Simplify right side
    819,612x = 2,821,351,777,344
  5. Step 5: Solve for x
    x = 2,821,351,777,344/819,612
  6. Step 6: Final answer
    x = 3,442,301.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.