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Finding the Third Proportional to 823,570 and 1,778,360

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Solution

The third proportional to 823,570 and 1,778,360 is: 3,840,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,570 : 1,778,360 = 1,778,360 : x
  2. Step 2: Convert to fraction form
    823,570/1,778,360 = 1,778,360/x
  3. Step 3: Cross multiply
    823,570x = 1,778,360 × 1,778,360
  4. Step 4: Simplify right side
    823,570x = 3,162,564,289,600
  5. Step 5: Solve for x
    x = 3,162,564,289,600/823,570
  6. Step 6: Final answer
    x = 3,840,067.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.