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Finding the Third Proportional to 1,757,996 and 3,731,822

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Solution

The third proportional to 1,757,996 and 3,731,822 is: 7,921,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,996 : 3,731,822 = 3,731,822 : x
  2. Step 2: Convert to fraction form
    1,757,996/3,731,822 = 3,731,822/x
  3. Step 3: Cross multiply
    1,757,996x = 3,731,822 × 3,731,822
  4. Step 4: Simplify right side
    1,757,996x = 13,926,495,439,684
  5. Step 5: Solve for x
    x = 13,926,495,439,684/1,757,996
  6. Step 6: Final answer
    x = 7,921,801.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.