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Finding the Third Proportional to 698,924.25 and 1,528,701.75

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Solution

The third proportional to 698,924.25 and 1,528,701.75 is: 3,343,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,924.25 : 1,528,701.75 = 1,528,701.75 : x
  2. Step 2: Convert to fraction form
    698,924.25/1,528,701.75 = 1,528,701.75/x
  3. Step 3: Cross multiply
    698,924.25x = 1,528,701.75 × 1,528,701.75
  4. Step 4: Simplify right side
    698,924.25x = 2,336,929,040,453.06
  5. Step 5: Solve for x
    x = 2,336,929,040,453.06/698,924.25
  6. Step 6: Final answer
    x = 3,343,608.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.