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Finding the Third Proportional to 579,106 and 880,466

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Solution

The third proportional to 579,106 and 880,466 is: 1,338,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,106 : 880,466 = 880,466 : x
  2. Step 2: Convert to fraction form
    579,106/880,466 = 880,466/x
  3. Step 3: Cross multiply
    579,106x = 880,466 × 880,466
  4. Step 4: Simplify right side
    579,106x = 775,220,377,156
  5. Step 5: Solve for x
    x = 775,220,377,156/579,106
  6. Step 6: Final answer
    x = 1,338,650.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.