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Finding the Third Proportional to 438,570 and 944,814

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Solution

The third proportional to 438,570 and 944,814 is: 2,035,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,570 : 944,814 = 944,814 : x
  2. Step 2: Convert to fraction form
    438,570/944,814 = 944,814/x
  3. Step 3: Cross multiply
    438,570x = 944,814 × 944,814
  4. Step 4: Simplify right side
    438,570x = 892,673,494,596
  5. Step 5: Solve for x
    x = 892,673,494,596/438,570
  6. Step 6: Final answer
    x = 2,035,418.51

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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.