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Finding the Third Proportional to 769,320 and 1,194,309

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Solution

The third proportional to 769,320 and 1,194,309 is: 1,854,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,320 : 1,194,309 = 1,194,309 : x
  2. Step 2: Convert to fraction form
    769,320/1,194,309 = 1,194,309/x
  3. Step 3: Cross multiply
    769,320x = 1,194,309 × 1,194,309
  4. Step 4: Simplify right side
    769,320x = 1,426,373,987,481
  5. Step 5: Solve for x
    x = 1,426,373,987,481/769,320
  6. Step 6: Final answer
    x = 1,854,071.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.