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Finding the Third Proportional to 779,544 and 1,704,888

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Solution

The third proportional to 779,544 and 1,704,888 is: 3,728,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,544 : 1,704,888 = 1,704,888 : x
  2. Step 2: Convert to fraction form
    779,544/1,704,888 = 1,704,888/x
  3. Step 3: Cross multiply
    779,544x = 1,704,888 × 1,704,888
  4. Step 4: Simplify right side
    779,544x = 2,906,643,092,544
  5. Step 5: Solve for x
    x = 2,906,643,092,544/779,544
  6. Step 6: Final answer
    x = 3,728,645.33

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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.