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Finding the Third Proportional to 811,525 and 1,266,418

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Solution

The third proportional to 811,525 and 1,266,418 is: 1,976,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,525 : 1,266,418 = 1,266,418 : x
  2. Step 2: Convert to fraction form
    811,525/1,266,418 = 1,266,418/x
  3. Step 3: Cross multiply
    811,525x = 1,266,418 × 1,266,418
  4. Step 4: Simplify right side
    811,525x = 1,603,814,550,724
  5. Step 5: Solve for x
    x = 1,603,814,550,724/811,525
  6. Step 6: Final answer
    x = 1,976,297.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.