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Finding the Third Proportional to 680,214 and 1,482,886.50

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Solution

The third proportional to 680,214 and 1,482,886.50 is: 3,232,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,214 : 1,482,886.50 = 1,482,886.50 : x
  2. Step 2: Convert to fraction form
    680,214/1,482,886.50 = 1,482,886.50/x
  3. Step 3: Cross multiply
    680,214x = 1,482,886.50 × 1,482,886.50
  4. Step 4: Simplify right side
    680,214x = 2,198,952,371,882.25
  5. Step 5: Solve for x
    x = 2,198,952,371,882.25/680,214
  6. Step 6: Final answer
    x = 3,232,736.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.