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Finding the Third Proportional to 698,604.75 and 1,441,806.75

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Solution

The third proportional to 698,604.75 and 1,441,806.75 is: 2,975,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,604.75 : 1,441,806.75 = 1,441,806.75 : x
  2. Step 2: Convert to fraction form
    698,604.75/1,441,806.75 = 1,441,806.75/x
  3. Step 3: Cross multiply
    698,604.75x = 1,441,806.75 × 1,441,806.75
  4. Step 4: Simplify right side
    698,604.75x = 2,078,806,704,345.56
  5. Step 5: Solve for x
    x = 2,078,806,704,345.56/698,604.75
  6. Step 6: Final answer
    x = 2,975,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.