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Finding the Third Proportional to 878,394 and 1,917,420

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Solution

The third proportional to 878,394 and 1,917,420 is: 4,185,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,394 : 1,917,420 = 1,917,420 : x
  2. Step 2: Convert to fraction form
    878,394/1,917,420 = 1,917,420/x
  3. Step 3: Cross multiply
    878,394x = 1,917,420 × 1,917,420
  4. Step 4: Simplify right side
    878,394x = 3,676,499,456,400
  5. Step 5: Solve for x
    x = 3,676,499,456,400/878,394
  6. Step 6: Final answer
    x = 4,185,478.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.