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Finding the Third Proportional to 689,084 and 1,010,257

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Solution

The third proportional to 689,084 and 1,010,257 is: 1,481,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,084 : 1,010,257 = 1,010,257 : x
  2. Step 2: Convert to fraction form
    689,084/1,010,257 = 1,010,257/x
  3. Step 3: Cross multiply
    689,084x = 1,010,257 × 1,010,257
  4. Step 4: Simplify right side
    689,084x = 1,020,619,206,049
  5. Step 5: Solve for x
    x = 1,020,619,206,049/689,084
  6. Step 6: Final answer
    x = 1,481,124.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.