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Finding the Third Proportional to 1,125,857 and 2,297,560

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Solution

The third proportional to 1,125,857 and 2,297,560 is: 4,688,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,857 : 2,297,560 = 2,297,560 : x
  2. Step 2: Convert to fraction form
    1,125,857/2,297,560 = 2,297,560/x
  3. Step 3: Cross multiply
    1,125,857x = 2,297,560 × 2,297,560
  4. Step 4: Simplify right side
    1,125,857x = 5,278,781,953,600
  5. Step 5: Solve for x
    x = 5,278,781,953,600/1,125,857
  6. Step 6: Final answer
    x = 4,688,678.89

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