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Finding the Third Proportional to 963,446 and 2,074,878

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Solution

The third proportional to 963,446 and 2,074,878 is: 4,468,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,446 : 2,074,878 = 2,074,878 : x
  2. Step 2: Convert to fraction form
    963,446/2,074,878 = 2,074,878/x
  3. Step 3: Cross multiply
    963,446x = 2,074,878 × 2,074,878
  4. Step 4: Simplify right side
    963,446x = 4,305,118,714,884
  5. Step 5: Solve for x
    x = 4,305,118,714,884/963,446
  6. Step 6: Final answer
    x = 4,468,458.76

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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.