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Finding the Third Proportional to 948,431 and 1,422,660

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Solution

The third proportional to 948,431 and 1,422,660 is: 2,134,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,431 : 1,422,660 = 1,422,660 : x
  2. Step 2: Convert to fraction form
    948,431/1,422,660 = 1,422,660/x
  3. Step 3: Cross multiply
    948,431x = 1,422,660 × 1,422,660
  4. Step 4: Simplify right side
    948,431x = 2,023,961,475,600
  5. Step 5: Solve for x
    x = 2,023,961,475,600/948,431
  6. Step 6: Final answer
    x = 2,134,010.25

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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.