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Finding the Third Proportional to 2,043,840 and 4,218,880

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Solution

The third proportional to 2,043,840 and 4,218,880 is: 8,708,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043,840 : 4,218,880 = 4,218,880 : x
  2. Step 2: Convert to fraction form
    2,043,840/4,218,880 = 4,218,880/x
  3. Step 3: Cross multiply
    2,043,840x = 4,218,880 × 4,218,880
  4. Step 4: Simplify right side
    2,043,840x = 17,798,948,454,400
  5. Step 5: Solve for x
    x = 17,798,948,454,400/2,043,840
  6. Step 6: Final answer
    x = 8,708,582.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.