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Finding the Third Proportional to 2,145,230 and 3,147,714

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Solution

The third proportional to 2,145,230 and 3,147,714 is: 4,618,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,230 : 3,147,714 = 3,147,714 : x
  2. Step 2: Convert to fraction form
    2,145,230/3,147,714 = 3,147,714/x
  3. Step 3: Cross multiply
    2,145,230x = 3,147,714 × 3,147,714
  4. Step 4: Simplify right side
    2,145,230x = 9,908,103,425,796
  5. Step 5: Solve for x
    x = 9,908,103,425,796/2,145,230
  6. Step 6: Final answer
    x = 4,618,667.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.