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Finding the Third Proportional to 655,692 and 989,562

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Solution

The third proportional to 655,692 and 989,562 is: 1,493,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,692 : 989,562 = 989,562 : x
  2. Step 2: Convert to fraction form
    655,692/989,562 = 989,562/x
  3. Step 3: Cross multiply
    655,692x = 989,562 × 989,562
  4. Step 4: Simplify right side
    655,692x = 979,232,951,844
  5. Step 5: Solve for x
    x = 979,232,951,844/655,692
  6. Step 6: Final answer
    x = 1,493,434.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.