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Finding the Third Proportional to 399,448 and 869,426

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Solution

The third proportional to 399,448 and 869,426 is: 1,892,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,448 : 869,426 = 869,426 : x
  2. Step 2: Convert to fraction form
    399,448/869,426 = 869,426/x
  3. Step 3: Cross multiply
    399,448x = 869,426 × 869,426
  4. Step 4: Simplify right side
    399,448x = 755,901,569,476
  5. Step 5: Solve for x
    x = 755,901,569,476/399,448
  6. Step 6: Final answer
    x = 1,892,365.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.