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Finding the Third Proportional to 493,396 and 1,062,924

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Solution

The third proportional to 493,396 and 1,062,924 is: 2,289,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,396 : 1,062,924 = 1,062,924 : x
  2. Step 2: Convert to fraction form
    493,396/1,062,924 = 1,062,924/x
  3. Step 3: Cross multiply
    493,396x = 1,062,924 × 1,062,924
  4. Step 4: Simplify right side
    493,396x = 1,129,807,429,776
  5. Step 5: Solve for x
    x = 1,129,807,429,776/493,396
  6. Step 6: Final answer
    x = 2,289,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.