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Finding the Third Proportional to 811,643 and 1,261,674

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Solution

The third proportional to 811,643 and 1,261,674 is: 1,961,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,643 : 1,261,674 = 1,261,674 : x
  2. Step 2: Convert to fraction form
    811,643/1,261,674 = 1,261,674/x
  3. Step 3: Cross multiply
    811,643x = 1,261,674 × 1,261,674
  4. Step 4: Simplify right side
    811,643x = 1,591,821,282,276
  5. Step 5: Solve for x
    x = 1,591,821,282,276/811,643
  6. Step 6: Final answer
    x = 1,961,233.30

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Why These Related Problems?

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