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Finding the Third Proportional to 406,008 and 855,792

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Solution

The third proportional to 406,008 and 855,792 is: 1,803,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,008 : 855,792 = 855,792 : x
  2. Step 2: Convert to fraction form
    406,008/855,792 = 855,792/x
  3. Step 3: Cross multiply
    406,008x = 855,792 × 855,792
  4. Step 4: Simplify right side
    406,008x = 732,379,947,264
  5. Step 5: Solve for x
    x = 732,379,947,264/406,008
  6. Step 6: Final answer
    x = 1,803,855.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.