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Finding the Third Proportional to 406,804 and 874,830

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Solution

The third proportional to 406,804 and 874,830 is: 1,881,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,804 : 874,830 = 874,830 : x
  2. Step 2: Convert to fraction form
    406,804/874,830 = 874,830/x
  3. Step 3: Cross multiply
    406,804x = 874,830 × 874,830
  4. Step 4: Simplify right side
    406,804x = 765,327,528,900
  5. Step 5: Solve for x
    x = 765,327,528,900/406,804
  6. Step 6: Final answer
    x = 1,881,317.61

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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.