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Finding the Third Proportional to 1,053,214 and 1,589,091

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Solution

The third proportional to 1,053,214 and 1,589,091 is: 2,397,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,214 : 1,589,091 = 1,589,091 : x
  2. Step 2: Convert to fraction form
    1,053,214/1,589,091 = 1,589,091/x
  3. Step 3: Cross multiply
    1,053,214x = 1,589,091 × 1,589,091
  4. Step 4: Simplify right side
    1,053,214x = 2,525,210,206,281
  5. Step 5: Solve for x
    x = 2,525,210,206,281/1,053,214
  6. Step 6: Final answer
    x = 2,397,623.09

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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.