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Finding the Third Proportional to 1,294,972 and 2,031,420

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Solution

The third proportional to 1,294,972 and 2,031,420 is: 3,186,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,972 : 2,031,420 = 2,031,420 : x
  2. Step 2: Convert to fraction form
    1,294,972/2,031,420 = 2,031,420/x
  3. Step 3: Cross multiply
    1,294,972x = 2,031,420 × 2,031,420
  4. Step 4: Simplify right side
    1,294,972x = 4,126,667,216,400
  5. Step 5: Solve for x
    x = 4,126,667,216,400/1,294,972
  6. Step 6: Final answer
    x = 3,186,684.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.