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Finding the Third Proportional to 577,619.81 and 1,288,053.19

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Solution

The third proportional to 577,619.81 and 1,288,053.19 is: 2,872,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,619.81 : 1,288,053.19 = 1,288,053.19 : x
  2. Step 2: Convert to fraction form
    577,619.81/1,288,053.19 = 1,288,053.19/x
  3. Step 3: Cross multiply
    577,619.81x = 1,288,053.19 × 1,288,053.19
  4. Step 4: Simplify right side
    577,619.81x = 1,659,081,013,828.91
  5. Step 5: Solve for x
    x = 1,659,081,013,828.91/577,619.81
  6. Step 6: Final answer
    x = 2,872,271.65

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.