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Finding the Third Proportional to 811,442 and 1,261,412

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Solution

The third proportional to 811,442 and 1,261,412 is: 1,960,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,442 : 1,261,412 = 1,261,412 : x
  2. Step 2: Convert to fraction form
    811,442/1,261,412 = 1,261,412/x
  3. Step 3: Cross multiply
    811,442x = 1,261,412 × 1,261,412
  4. Step 4: Simplify right side
    811,442x = 1,591,160,233,744
  5. Step 5: Solve for x
    x = 1,591,160,233,744/811,442
  6. Step 6: Final answer
    x = 1,960,904.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.