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Finding the Third Proportional to 1,029,331 and 2,268,074

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Solution

The third proportional to 1,029,331 and 2,268,074 is: 4,997,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,331 : 2,268,074 = 2,268,074 : x
  2. Step 2: Convert to fraction form
    1,029,331/2,268,074 = 2,268,074/x
  3. Step 3: Cross multiply
    1,029,331x = 2,268,074 × 2,268,074
  4. Step 4: Simplify right side
    1,029,331x = 5,144,159,669,476
  5. Step 5: Solve for x
    x = 5,144,159,669,476/1,029,331
  6. Step 6: Final answer
    x = 4,997,575.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.