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Finding the Third Proportional to 857,952 and 1,847,448

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Solution

The third proportional to 857,952 and 1,847,448 is: 3,978,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,952 : 1,847,448 = 1,847,448 : x
  2. Step 2: Convert to fraction form
    857,952/1,847,448 = 1,847,448/x
  3. Step 3: Cross multiply
    857,952x = 1,847,448 × 1,847,448
  4. Step 4: Simplify right side
    857,952x = 3,413,064,112,704
  5. Step 5: Solve for x
    x = 3,413,064,112,704/857,952
  6. Step 6: Final answer
    x = 3,978,152.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.