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Finding the Third Proportional to 609,053 and 893,671

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Solution

The third proportional to 609,053 and 893,671 is: 1,311,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,053 : 893,671 = 893,671 : x
  2. Step 2: Convert to fraction form
    609,053/893,671 = 893,671/x
  3. Step 3: Cross multiply
    609,053x = 893,671 × 893,671
  4. Step 4: Simplify right side
    609,053x = 798,647,856,241
  5. Step 5: Solve for x
    x = 798,647,856,241/609,053
  6. Step 6: Final answer
    x = 1,311,294.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.