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Finding the Third Proportional to 680,196 and 1,489,680

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Solution

The third proportional to 680,196 and 1,489,680 is: 3,262,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,196 : 1,489,680 = 1,489,680 : x
  2. Step 2: Convert to fraction form
    680,196/1,489,680 = 1,489,680/x
  3. Step 3: Cross multiply
    680,196x = 1,489,680 × 1,489,680
  4. Step 4: Simplify right side
    680,196x = 2,219,146,502,400
  5. Step 5: Solve for x
    x = 2,219,146,502,400/680,196
  6. Step 6: Final answer
    x = 3,262,510.37

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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.