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Finding the Third Proportional to 934,710 and 1,400,517

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Solution

The third proportional to 934,710 and 1,400,517 is: 2,098,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,710 : 1,400,517 = 1,400,517 : x
  2. Step 2: Convert to fraction form
    934,710/1,400,517 = 1,400,517/x
  3. Step 3: Cross multiply
    934,710x = 1,400,517 × 1,400,517
  4. Step 4: Simplify right side
    934,710x = 1,961,447,867,289
  5. Step 5: Solve for x
    x = 1,961,447,867,289/934,710
  6. Step 6: Final answer
    x = 2,098,456.06

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Why These Related Problems?

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