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Finding the Third Proportional to 633,267 and 1,292,364

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Solution

The third proportional to 633,267 and 1,292,364 is: 2,637,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,267 : 1,292,364 = 1,292,364 : x
  2. Step 2: Convert to fraction form
    633,267/1,292,364 = 1,292,364/x
  3. Step 3: Cross multiply
    633,267x = 1,292,364 × 1,292,364
  4. Step 4: Simplify right side
    633,267x = 1,670,204,708,496
  5. Step 5: Solve for x
    x = 1,670,204,708,496/633,267
  6. Step 6: Final answer
    x = 2,637,441.57

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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.