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Finding the Third Proportional to 689,080 and 1,010,251

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Solution

The third proportional to 689,080 and 1,010,251 is: 1,481,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,080 : 1,010,251 = 1,010,251 : x
  2. Step 2: Convert to fraction form
    689,080/1,010,251 = 1,010,251/x
  3. Step 3: Cross multiply
    689,080x = 1,010,251 × 1,010,251
  4. Step 4: Simplify right side
    689,080x = 1,020,607,083,001
  5. Step 5: Solve for x
    x = 1,020,607,083,001/689,080
  6. Step 6: Final answer
    x = 1,481,115.52

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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.