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Finding the Third Proportional to 843,228 and 1,233,292

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Solution

The third proportional to 843,228 and 1,233,292 is: 1,803,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,228 : 1,233,292 = 1,233,292 : x
  2. Step 2: Convert to fraction form
    843,228/1,233,292 = 1,233,292/x
  3. Step 3: Cross multiply
    843,228x = 1,233,292 × 1,233,292
  4. Step 4: Simplify right side
    843,228x = 1,521,009,157,264
  5. Step 5: Solve for x
    x = 1,521,009,157,264/843,228
  6. Step 6: Final answer
    x = 1,803,793.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.