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Finding the Third Proportional to 1,334,309 and 1,966,171

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Solution

The third proportional to 1,334,309 and 1,966,171 is: 2,897,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,309 : 1,966,171 = 1,966,171 : x
  2. Step 2: Convert to fraction form
    1,334,309/1,966,171 = 1,966,171/x
  3. Step 3: Cross multiply
    1,334,309x = 1,966,171 × 1,966,171
  4. Step 4: Simplify right side
    1,334,309x = 3,865,828,401,241
  5. Step 5: Solve for x
    x = 3,865,828,401,241/1,334,309
  6. Step 6: Final answer
    x = 2,897,251.24

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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.