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Finding the Third Proportional to 747,051 and 1,599,078

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Solution

The third proportional to 747,051 and 1,599,078 is: 3,422,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,051 : 1,599,078 = 1,599,078 : x
  2. Step 2: Convert to fraction form
    747,051/1,599,078 = 1,599,078/x
  3. Step 3: Cross multiply
    747,051x = 1,599,078 × 1,599,078
  4. Step 4: Simplify right side
    747,051x = 2,557,050,450,084
  5. Step 5: Solve for x
    x = 2,557,050,450,084/747,051
  6. Step 6: Final answer
    x = 3,422,859.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.