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Finding the Third Proportional to 910,784.25 and 1,447,584.75

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Solution

The third proportional to 910,784.25 and 1,447,584.75 is: 2,300,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,784.25 : 1,447,584.75 = 1,447,584.75 : x
  2. Step 2: Convert to fraction form
    910,784.25/1,447,584.75 = 1,447,584.75/x
  3. Step 3: Cross multiply
    910,784.25x = 1,447,584.75 × 1,447,584.75
  4. Step 4: Simplify right side
    910,784.25x = 2,095,501,608,432.56
  5. Step 5: Solve for x
    x = 2,095,501,608,432.56/910,784.25
  6. Step 6: Final answer
    x = 2,300,766.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.