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Finding the Third Proportional to 721,838.25 and 1,566,614.25

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Solution

The third proportional to 721,838.25 and 1,566,614.25 is: 3,400,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,838.25 : 1,566,614.25 = 1,566,614.25 : x
  2. Step 2: Convert to fraction form
    721,838.25/1,566,614.25 = 1,566,614.25/x
  3. Step 3: Cross multiply
    721,838.25x = 1,566,614.25 × 1,566,614.25
  4. Step 4: Simplify right side
    721,838.25x = 2,454,280,208,303.06
  5. Step 5: Solve for x
    x = 2,454,280,208,303.06/721,838.25
  6. Step 6: Final answer
    x = 3,400,041.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.