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Finding the Third Proportional to 776,266 and 1,234,384

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Solution

The third proportional to 776,266 and 1,234,384 is: 1,962,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,266 : 1,234,384 = 1,234,384 : x
  2. Step 2: Convert to fraction form
    776,266/1,234,384 = 1,234,384/x
  3. Step 3: Cross multiply
    776,266x = 1,234,384 × 1,234,384
  4. Step 4: Simplify right side
    776,266x = 1,523,703,859,456
  5. Step 5: Solve for x
    x = 1,523,703,859,456/776,266
  6. Step 6: Final answer
    x = 1,962,863.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.