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Finding the Third Proportional to 686,761 and 1,010,288

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Solution

The third proportional to 686,761 and 1,010,288 is: 1,486,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,761 : 1,010,288 = 1,010,288 : x
  2. Step 2: Convert to fraction form
    686,761/1,010,288 = 1,010,288/x
  3. Step 3: Cross multiply
    686,761x = 1,010,288 × 1,010,288
  4. Step 4: Simplify right side
    686,761x = 1,020,681,842,944
  5. Step 5: Solve for x
    x = 1,020,681,842,944/686,761
  6. Step 6: Final answer
    x = 1,486,225.69

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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.