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Finding the Third Proportional to 816,123 and 1,767,822

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Solution

The third proportional to 816,123 and 1,767,822 is: 3,829,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,123 : 1,767,822 = 1,767,822 : x
  2. Step 2: Convert to fraction form
    816,123/1,767,822 = 1,767,822/x
  3. Step 3: Cross multiply
    816,123x = 1,767,822 × 1,767,822
  4. Step 4: Simplify right side
    816,123x = 3,125,194,623,684
  5. Step 5: Solve for x
    x = 3,125,194,623,684/816,123
  6. Step 6: Final answer
    x = 3,829,318.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.