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Finding the Third Proportional to 489,098.25 and 1,075,740.75

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Solution

The third proportional to 489,098.25 and 1,075,740.75 is: 2,366,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,098.25 : 1,075,740.75 = 1,075,740.75 : x
  2. Step 2: Convert to fraction form
    489,098.25/1,075,740.75 = 1,075,740.75/x
  3. Step 3: Cross multiply
    489,098.25x = 1,075,740.75 × 1,075,740.75
  4. Step 4: Simplify right side
    489,098.25x = 1,157,218,161,210.56
  5. Step 5: Solve for x
    x = 1,157,218,161,210.56/489,098.25
  6. Step 6: Final answer
    x = 2,366,023.93

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Why These Related Problems?

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