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Finding the Third Proportional to 686,772 and 1,050,576.75

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Solution

The third proportional to 686,772 and 1,050,576.75 is: 1,607,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,772 : 1,050,576.75 = 1,050,576.75 : x
  2. Step 2: Convert to fraction form
    686,772/1,050,576.75 = 1,050,576.75/x
  3. Step 3: Cross multiply
    686,772x = 1,050,576.75 × 1,050,576.75
  4. Step 4: Simplify right side
    686,772x = 1,103,711,507,640.56
  5. Step 5: Solve for x
    x = 1,103,711,507,640.56/686,772
  6. Step 6: Final answer
    x = 1,607,100.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.