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Finding the Third Proportional to 791,963 and 1,187,971

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Solution

The third proportional to 791,963 and 1,187,971 is: 1,781,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,963 : 1,187,971 = 1,187,971 : x
  2. Step 2: Convert to fraction form
    791,963/1,187,971 = 1,187,971/x
  3. Step 3: Cross multiply
    791,963x = 1,187,971 × 1,187,971
  4. Step 4: Simplify right side
    791,963x = 1,411,275,096,841
  5. Step 5: Solve for x
    x = 1,411,275,096,841/791,963
  6. Step 6: Final answer
    x = 1,781,996.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.