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Finding the Third Proportional to 641,806.50 and 1,374,697.50

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Solution

The third proportional to 641,806.50 and 1,374,697.50 is: 2,944,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,806.50 : 1,374,697.50 = 1,374,697.50 : x
  2. Step 2: Convert to fraction form
    641,806.50/1,374,697.50 = 1,374,697.50/x
  3. Step 3: Cross multiply
    641,806.50x = 1,374,697.50 × 1,374,697.50
  4. Step 4: Simplify right side
    641,806.50x = 1,889,793,216,506.25
  5. Step 5: Solve for x
    x = 1,889,793,216,506.25/641,806.50
  6. Step 6: Final answer
    x = 2,944,490.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.