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Finding the Third Proportional to 1,037,620 and 2,272,076

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Solution

The third proportional to 1,037,620 and 2,272,076 is: 4,975,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,620 : 2,272,076 = 2,272,076 : x
  2. Step 2: Convert to fraction form
    1,037,620/2,272,076 = 2,272,076/x
  3. Step 3: Cross multiply
    1,037,620x = 2,272,076 × 2,272,076
  4. Step 4: Simplify right side
    1,037,620x = 5,162,329,349,776
  5. Step 5: Solve for x
    x = 5,162,329,349,776/1,037,620
  6. Step 6: Final answer
    x = 4,975,163.69

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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.