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Finding the Third Proportional to 1,037,624 and 2,272,078

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Solution

The third proportional to 1,037,624 and 2,272,078 is: 4,975,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,624 : 2,272,078 = 2,272,078 : x
  2. Step 2: Convert to fraction form
    1,037,624/2,272,078 = 2,272,078/x
  3. Step 3: Cross multiply
    1,037,624x = 2,272,078 × 2,272,078
  4. Step 4: Simplify right side
    1,037,624x = 5,162,338,438,084
  5. Step 5: Solve for x
    x = 5,162,338,438,084/1,037,624
  6. Step 6: Final answer
    x = 4,975,153.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.