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Finding the Third Proportional to 370,102 and 797,822

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Solution

The third proportional to 370,102 and 797,822 is: 1,719,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,102 : 797,822 = 797,822 : x
  2. Step 2: Convert to fraction form
    370,102/797,822 = 797,822/x
  3. Step 3: Cross multiply
    370,102x = 797,822 × 797,822
  4. Step 4: Simplify right side
    370,102x = 636,519,943,684
  5. Step 5: Solve for x
    x = 636,519,943,684/370,102
  6. Step 6: Final answer
    x = 1,719,850.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.