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Finding the Third Proportional to 801,856 and 1,762,432

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Solution

The third proportional to 801,856 and 1,762,432 is: 3,873,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,856 : 1,762,432 = 1,762,432 : x
  2. Step 2: Convert to fraction form
    801,856/1,762,432 = 1,762,432/x
  3. Step 3: Cross multiply
    801,856x = 1,762,432 × 1,762,432
  4. Step 4: Simplify right side
    801,856x = 3,106,166,554,624
  5. Step 5: Solve for x
    x = 3,106,166,554,624/801,856
  6. Step 6: Final answer
    x = 3,873,721.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.