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Finding the Third Proportional to 934,642 and 1,400,378

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Solution

The third proportional to 934,642 and 1,400,378 is: 2,098,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,642 : 1,400,378 = 1,400,378 : x
  2. Step 2: Convert to fraction form
    934,642/1,400,378 = 1,400,378/x
  3. Step 3: Cross multiply
    934,642x = 1,400,378 × 1,400,378
  4. Step 4: Simplify right side
    934,642x = 1,961,058,542,884
  5. Step 5: Solve for x
    x = 1,961,058,542,884/934,642
  6. Step 6: Final answer
    x = 2,098,192.19

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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.