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Finding the Third Proportional to 1,314,438 and 1,996,251

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Solution

The third proportional to 1,314,438 and 1,996,251 is: 3,031,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,438 : 1,996,251 = 1,996,251 : x
  2. Step 2: Convert to fraction form
    1,314,438/1,996,251 = 1,996,251/x
  3. Step 3: Cross multiply
    1,314,438x = 1,996,251 × 1,996,251
  4. Step 4: Simplify right side
    1,314,438x = 3,985,018,055,001
  5. Step 5: Solve for x
    x = 3,985,018,055,001/1,314,438
  6. Step 6: Final answer
    x = 3,031,727.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.