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Finding the Third Proportional to 1,534,209 and 2,301,315

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Solution

The third proportional to 1,534,209 and 2,301,315 is: 3,451,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,209 : 2,301,315 = 2,301,315 : x
  2. Step 2: Convert to fraction form
    1,534,209/2,301,315 = 2,301,315/x
  3. Step 3: Cross multiply
    1,534,209x = 2,301,315 × 2,301,315
  4. Step 4: Simplify right side
    1,534,209x = 5,296,050,729,225
  5. Step 5: Solve for x
    x = 5,296,050,729,225/1,534,209
  6. Step 6: Final answer
    x = 3,451,974.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.