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Finding the Third Proportional to 2,037,324 and 4,242,078

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Solution

The third proportional to 2,037,324 and 4,242,078 is: 8,832,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,324 : 4,242,078 = 4,242,078 : x
  2. Step 2: Convert to fraction form
    2,037,324/4,242,078 = 4,242,078/x
  3. Step 3: Cross multiply
    2,037,324x = 4,242,078 × 4,242,078
  4. Step 4: Simplify right side
    2,037,324x = 17,995,225,758,084
  5. Step 5: Solve for x
    x = 17,995,225,758,084/2,037,324
  6. Step 6: Final answer
    x = 8,832,775.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.