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Finding the Third Proportional to 878,976 and 1,890,432

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Solution

The third proportional to 878,976 and 1,890,432 is: 4,065,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,976 : 1,890,432 = 1,890,432 : x
  2. Step 2: Convert to fraction form
    878,976/1,890,432 = 1,890,432/x
  3. Step 3: Cross multiply
    878,976x = 1,890,432 × 1,890,432
  4. Step 4: Simplify right side
    878,976x = 3,573,733,146,624
  5. Step 5: Solve for x
    x = 3,573,733,146,624/878,976
  6. Step 6: Final answer
    x = 4,065,791.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.