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Finding the Third Proportional to 1,663,948 and 2,377,822

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Solution

The third proportional to 1,663,948 and 2,377,822 is: 3,397,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,948 : 2,377,822 = 2,377,822 : x
  2. Step 2: Convert to fraction form
    1,663,948/2,377,822 = 2,377,822/x
  3. Step 3: Cross multiply
    1,663,948x = 2,377,822 × 2,377,822
  4. Step 4: Simplify right side
    1,663,948x = 5,654,037,463,684
  5. Step 5: Solve for x
    x = 5,654,037,463,684/1,663,948
  6. Step 6: Final answer
    x = 3,397,965.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.