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Finding the Third Proportional to 866,865 and 1,883,904

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Solution

The third proportional to 866,865 and 1,883,904 is: 4,094,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,865 : 1,883,904 = 1,883,904 : x
  2. Step 2: Convert to fraction form
    866,865/1,883,904 = 1,883,904/x
  3. Step 3: Cross multiply
    866,865x = 1,883,904 × 1,883,904
  4. Step 4: Simplify right side
    866,865x = 3,549,094,281,216
  5. Step 5: Solve for x
    x = 3,549,094,281,216/866,865
  6. Step 6: Final answer
    x = 4,094,171.85

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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.