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Finding the Third Proportional to 2,037,442 and 4,242,188

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Solution

The third proportional to 2,037,442 and 4,242,188 is: 8,832,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,442 : 4,242,188 = 4,242,188 : x
  2. Step 2: Convert to fraction form
    2,037,442/4,242,188 = 4,242,188/x
  3. Step 3: Cross multiply
    2,037,442x = 4,242,188 × 4,242,188
  4. Step 4: Simplify right side
    2,037,442x = 17,996,159,027,344
  5. Step 5: Solve for x
    x = 17,996,159,027,344/2,037,442
  6. Step 6: Final answer
    x = 8,832,722.12

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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.