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Finding the Third Proportional to 946,518 and 2,067,708

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Solution

The third proportional to 946,518 and 2,067,708 is: 4,516,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,518 : 2,067,708 = 2,067,708 : x
  2. Step 2: Convert to fraction form
    946,518/2,067,708 = 2,067,708/x
  3. Step 3: Cross multiply
    946,518x = 2,067,708 × 2,067,708
  4. Step 4: Simplify right side
    946,518x = 4,275,416,373,264
  5. Step 5: Solve for x
    x = 4,275,416,373,264/946,518
  6. Step 6: Final answer
    x = 4,516,994.26

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Why These Related Problems?

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