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Finding the Third Proportional to 438,574 and 944,822

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Solution

The third proportional to 438,574 and 944,822 is: 2,035,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,574 : 944,822 = 944,822 : x
  2. Step 2: Convert to fraction form
    438,574/944,822 = 944,822/x
  3. Step 3: Cross multiply
    438,574x = 944,822 × 944,822
  4. Step 4: Simplify right side
    438,574x = 892,688,611,684
  5. Step 5: Solve for x
    x = 892,688,611,684/438,574
  6. Step 6: Final answer
    x = 2,035,434.41

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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.