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Finding the Third Proportional to 403,796 and 874,461

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Solution

The third proportional to 403,796 and 874,461 is: 1,893,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,796 : 874,461 = 874,461 : x
  2. Step 2: Convert to fraction form
    403,796/874,461 = 874,461/x
  3. Step 3: Cross multiply
    403,796x = 874,461 × 874,461
  4. Step 4: Simplify right side
    403,796x = 764,682,040,521
  5. Step 5: Solve for x
    x = 764,682,040,521/403,796
  6. Step 6: Final answer
    x = 1,893,733.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.