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Finding the Third Proportional to 643,822 and 1,385,820

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Solution

The third proportional to 643,822 and 1,385,820 is: 2,982,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,822 : 1,385,820 = 1,385,820 : x
  2. Step 2: Convert to fraction form
    643,822/1,385,820 = 1,385,820/x
  3. Step 3: Cross multiply
    643,822x = 1,385,820 × 1,385,820
  4. Step 4: Simplify right side
    643,822x = 1,920,497,072,400
  5. Step 5: Solve for x
    x = 1,920,497,072,400/643,822
  6. Step 6: Final answer
    x = 2,982,962.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.