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Finding the Third Proportional to 686,736.56 and 1,010,250.56

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Solution

The third proportional to 686,736.56 and 1,010,250.56 is: 1,486,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,736.56 : 1,010,250.56 = 1,010,250.56 : x
  2. Step 2: Convert to fraction form
    686,736.56/1,010,250.56 = 1,010,250.56/x
  3. Step 3: Cross multiply
    686,736.56x = 1,010,250.56 × 1,010,250.56
  4. Step 4: Simplify right side
    686,736.56x = 1,020,606,199,031.57
  5. Step 5: Solve for x
    x = 1,020,606,199,031.57/686,736.56
  6. Step 6: Final answer
    x = 1,486,168.43

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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.