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Finding the Third Proportional to 1,125,718 and 2,297,282

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Solution

The third proportional to 1,125,718 and 2,297,282 is: 4,688,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,718 : 2,297,282 = 2,297,282 : x
  2. Step 2: Convert to fraction form
    1,125,718/2,297,282 = 2,297,282/x
  3. Step 3: Cross multiply
    1,125,718x = 2,297,282 × 2,297,282
  4. Step 4: Simplify right side
    1,125,718x = 5,277,504,587,524
  5. Step 5: Solve for x
    x = 5,277,504,587,524/1,125,718
  6. Step 6: Final answer
    x = 4,688,123.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.