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Finding the Third Proportional to 686,570 and 1,435,916

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Solution

The third proportional to 686,570 and 1,435,916 is: 3,003,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,570 : 1,435,916 = 1,435,916 : x
  2. Step 2: Convert to fraction form
    686,570/1,435,916 = 1,435,916/x
  3. Step 3: Cross multiply
    686,570x = 1,435,916 × 1,435,916
  4. Step 4: Simplify right side
    686,570x = 2,061,854,759,056
  5. Step 5: Solve for x
    x = 2,061,854,759,056/686,570
  6. Step 6: Final answer
    x = 3,003,123.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.