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Finding the Third Proportional to 399,496 and 855,854

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Solution

The third proportional to 399,496 and 855,854 is: 1,833,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,496 : 855,854 = 855,854 : x
  2. Step 2: Convert to fraction form
    399,496/855,854 = 855,854/x
  3. Step 3: Cross multiply
    399,496x = 855,854 × 855,854
  4. Step 4: Simplify right side
    399,496x = 732,486,069,316
  5. Step 5: Solve for x
    x = 732,486,069,316/399,496
  6. Step 6: Final answer
    x = 1,833,525.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.