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Finding the Third Proportional to 816,002 and 1,266,627

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Solution

The third proportional to 816,002 and 1,266,627 is: 1,966,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,002 : 1,266,627 = 1,266,627 : x
  2. Step 2: Convert to fraction form
    816,002/1,266,627 = 1,266,627/x
  3. Step 3: Cross multiply
    816,002x = 1,266,627 × 1,266,627
  4. Step 4: Simplify right side
    816,002x = 1,604,343,957,129
  5. Step 5: Solve for x
    x = 1,604,343,957,129/816,002
  6. Step 6: Final answer
    x = 1,966,102.97

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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.