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Finding the Third Proportional to 847,734 and 1,188,273

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Solution

The third proportional to 847,734 and 1,188,273 is: 1,665,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,734 : 1,188,273 = 1,188,273 : x
  2. Step 2: Convert to fraction form
    847,734/1,188,273 = 1,188,273/x
  3. Step 3: Cross multiply
    847,734x = 1,188,273 × 1,188,273
  4. Step 4: Simplify right side
    847,734x = 1,411,992,722,529
  5. Step 5: Solve for x
    x = 1,411,992,722,529/847,734
  6. Step 6: Final answer
    x = 1,665,608.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.