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Finding the Third Proportional to 841,872 and 1,283,820

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Solution

The third proportional to 841,872 and 1,283,820 is: 1,957,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,872 : 1,283,820 = 1,283,820 : x
  2. Step 2: Convert to fraction form
    841,872/1,283,820 = 1,283,820/x
  3. Step 3: Cross multiply
    841,872x = 1,283,820 × 1,283,820
  4. Step 4: Simplify right side
    841,872x = 1,648,193,792,400
  5. Step 5: Solve for x
    x = 1,648,193,792,400/841,872
  6. Step 6: Final answer
    x = 1,957,772.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.