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Finding the Third Proportional to 401,653 and 877,826

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Solution

The third proportional to 401,653 and 877,826 is: 1,918,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,653 : 877,826 = 877,826 : x
  2. Step 2: Convert to fraction form
    401,653/877,826 = 877,826/x
  3. Step 3: Cross multiply
    401,653x = 877,826 × 877,826
  4. Step 4: Simplify right side
    401,653x = 770,578,486,276
  5. Step 5: Solve for x
    x = 770,578,486,276/401,653
  6. Step 6: Final answer
    x = 1,918,517.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.