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Finding the Third Proportional to 847,839 and 1,842,934.50

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Solution

The third proportional to 847,839 and 1,842,934.50 is: 4,005,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,839 : 1,842,934.50 = 1,842,934.50 : x
  2. Step 2: Convert to fraction form
    847,839/1,842,934.50 = 1,842,934.50/x
  3. Step 3: Cross multiply
    847,839x = 1,842,934.50 × 1,842,934.50
  4. Step 4: Simplify right side
    847,839x = 3,396,407,571,290.25
  5. Step 5: Solve for x
    x = 3,396,407,571,290.25/847,839
  6. Step 6: Final answer
    x = 4,005,958.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.