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Finding the Third Proportional to 1,083,766.50 and 2,382,061.50

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Solution

The third proportional to 1,083,766.50 and 2,382,061.50 is: 5,235,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,766.50 : 2,382,061.50 = 2,382,061.50 : x
  2. Step 2: Convert to fraction form
    1,083,766.50/2,382,061.50 = 2,382,061.50/x
  3. Step 3: Cross multiply
    1,083,766.50x = 2,382,061.50 × 2,382,061.50
  4. Step 4: Simplify right side
    1,083,766.50x = 5,674,216,989,782.25
  5. Step 5: Solve for x
    x = 5,674,216,989,782.25/1,083,766.50
  6. Step 6: Final answer
    x = 5,235,645.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.