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Finding the Third Proportional to 948,449 and 1,422,710

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Solution

The third proportional to 948,449 and 1,422,710 is: 2,134,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,449 : 1,422,710 = 1,422,710 : x
  2. Step 2: Convert to fraction form
    948,449/1,422,710 = 1,422,710/x
  3. Step 3: Cross multiply
    948,449x = 1,422,710 × 1,422,710
  4. Step 4: Simplify right side
    948,449x = 2,024,103,744,100
  5. Step 5: Solve for x
    x = 2,024,103,744,100/948,449
  6. Step 6: Final answer
    x = 2,134,119.75

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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.