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Finding the Third Proportional to 934,659 and 1,400,419

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Solution

The third proportional to 934,659 and 1,400,419 is: 2,098,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,659 : 1,400,419 = 1,400,419 : x
  2. Step 2: Convert to fraction form
    934,659/1,400,419 = 1,400,419/x
  3. Step 3: Cross multiply
    934,659x = 1,400,419 × 1,400,419
  4. Step 4: Simplify right side
    934,659x = 1,961,173,375,561
  5. Step 5: Solve for x
    x = 1,961,173,375,561/934,659
  6. Step 6: Final answer
    x = 2,098,276.89

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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.