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Finding the Third Proportional to 399,412 and 869,354

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Solution

The third proportional to 399,412 and 869,354 is: 1,892,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,412 : 869,354 = 869,354 : x
  2. Step 2: Convert to fraction form
    399,412/869,354 = 869,354/x
  3. Step 3: Cross multiply
    399,412x = 869,354 × 869,354
  4. Step 4: Simplify right side
    399,412x = 755,776,377,316
  5. Step 5: Solve for x
    x = 755,776,377,316/399,412
  6. Step 6: Final answer
    x = 1,892,222.51

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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.