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Finding the Third Proportional to 841,902 and 1,283,865

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Solution

The third proportional to 841,902 and 1,283,865 is: 1,957,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,902 : 1,283,865 = 1,283,865 : x
  2. Step 2: Convert to fraction form
    841,902/1,283,865 = 1,283,865/x
  3. Step 3: Cross multiply
    841,902x = 1,283,865 × 1,283,865
  4. Step 4: Simplify right side
    841,902x = 1,648,309,338,225
  5. Step 5: Solve for x
    x = 1,648,309,338,225/841,902
  6. Step 6: Final answer
    x = 1,957,839.91

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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.