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Finding the Third Proportional to 811,637 and 1,261,664

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Solution

The third proportional to 811,637 and 1,261,664 is: 1,961,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,637 : 1,261,664 = 1,261,664 : x
  2. Step 2: Convert to fraction form
    811,637/1,261,664 = 1,261,664/x
  3. Step 3: Cross multiply
    811,637x = 1,261,664 × 1,261,664
  4. Step 4: Simplify right side
    811,637x = 1,591,796,048,896
  5. Step 5: Solve for x
    x = 1,591,796,048,896/811,637
  6. Step 6: Final answer
    x = 1,961,216.71

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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.