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Finding the Third Proportional to 819,840 and 1,781,520

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Solution

The third proportional to 819,840 and 1,781,520 is: 3,871,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,840 : 1,781,520 = 1,781,520 : x
  2. Step 2: Convert to fraction form
    819,840/1,781,520 = 1,781,520/x
  3. Step 3: Cross multiply
    819,840x = 1,781,520 × 1,781,520
  4. Step 4: Simplify right side
    819,840x = 3,173,813,510,400
  5. Step 5: Solve for x
    x = 3,173,813,510,400/819,840
  6. Step 6: Final answer
    x = 3,871,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.