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Finding the Third Proportional to 766,827 and 1,681,317

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Solution

The third proportional to 766,827 and 1,681,317 is: 3,686,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,827 : 1,681,317 = 1,681,317 : x
  2. Step 2: Convert to fraction form
    766,827/1,681,317 = 1,681,317/x
  3. Step 3: Cross multiply
    766,827x = 1,681,317 × 1,681,317
  4. Step 4: Simplify right side
    766,827x = 2,826,826,854,489
  5. Step 5: Solve for x
    x = 2,826,826,854,489/766,827
  6. Step 6: Final answer
    x = 3,686,394.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.