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Finding the Third Proportional to 807,214 and 1,712,822

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Solution

The third proportional to 807,214 and 1,712,822 is: 3,634,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,214 : 1,712,822 = 1,712,822 : x
  2. Step 2: Convert to fraction form
    807,214/1,712,822 = 1,712,822/x
  3. Step 3: Cross multiply
    807,214x = 1,712,822 × 1,712,822
  4. Step 4: Simplify right side
    807,214x = 2,933,759,203,684
  5. Step 5: Solve for x
    x = 2,933,759,203,684/807,214
  6. Step 6: Final answer
    x = 3,634,425.57

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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.