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Finding the Third Proportional to 694,272 and 1,521,708

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Solution

The third proportional to 694,272 and 1,521,708 is: 3,335,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,272 : 1,521,708 = 1,521,708 : x
  2. Step 2: Convert to fraction form
    694,272/1,521,708 = 1,521,708/x
  3. Step 3: Cross multiply
    694,272x = 1,521,708 × 1,521,708
  4. Step 4: Simplify right side
    694,272x = 2,315,595,237,264
  5. Step 5: Solve for x
    x = 2,315,595,237,264/694,272
  6. Step 6: Final answer
    x = 3,335,285.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.