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Finding the Third Proportional to 1,053,216 and 1,589,100

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Solution

The third proportional to 1,053,216 and 1,589,100 is: 2,397,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,216 : 1,589,100 = 1,589,100 : x
  2. Step 2: Convert to fraction form
    1,053,216/1,589,100 = 1,589,100/x
  3. Step 3: Cross multiply
    1,053,216x = 1,589,100 × 1,589,100
  4. Step 4: Simplify right side
    1,053,216x = 2,525,238,810,000
  5. Step 5: Solve for x
    x = 2,525,238,810,000/1,053,216
  6. Step 6: Final answer
    x = 2,397,645.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.