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Finding the Third Proportional to 802,710 and 1,093,329

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Solution

The third proportional to 802,710 and 1,093,329 is: 1,489,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,710 : 1,093,329 = 1,093,329 : x
  2. Step 2: Convert to fraction form
    802,710/1,093,329 = 1,093,329/x
  3. Step 3: Cross multiply
    802,710x = 1,093,329 × 1,093,329
  4. Step 4: Simplify right side
    802,710x = 1,195,368,302,241
  5. Step 5: Solve for x
    x = 1,195,368,302,241/802,710
  6. Step 6: Final answer
    x = 1,489,165.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.