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Finding the Third Proportional to 633,222 and 1,292,282

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Solution

The third proportional to 633,222 and 1,292,282 is: 2,637,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,222 : 1,292,282 = 1,292,282 : x
  2. Step 2: Convert to fraction form
    633,222/1,292,282 = 1,292,282/x
  3. Step 3: Cross multiply
    633,222x = 1,292,282 × 1,292,282
  4. Step 4: Simplify right side
    633,222x = 1,669,992,767,524
  5. Step 5: Solve for x
    x = 1,669,992,767,524/633,222
  6. Step 6: Final answer
    x = 2,637,294.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.