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Finding the Third Proportional to 655,690 and 989,559

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Solution

The third proportional to 655,690 and 989,559 is: 1,493,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,690 : 989,559 = 989,559 : x
  2. Step 2: Convert to fraction form
    655,690/989,559 = 989,559/x
  3. Step 3: Cross multiply
    655,690x = 989,559 × 989,559
  4. Step 4: Simplify right side
    655,690x = 979,227,014,481
  5. Step 5: Solve for x
    x = 979,227,014,481/655,690
  6. Step 6: Final answer
    x = 1,493,429.84

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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.