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Finding the Third Proportional to 401,873.63 and 866,845.69

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Solution

The third proportional to 401,873.63 and 866,845.69 is: 1,869,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,873.63 : 866,845.69 = 866,845.69 : x
  2. Step 2: Convert to fraction form
    401,873.63/866,845.69 = 866,845.69/x
  3. Step 3: Cross multiply
    401,873.63x = 866,845.69 × 866,845.69
  4. Step 4: Simplify right side
    401,873.63x = 751,421,445,937.35
  5. Step 5: Solve for x
    x = 751,421,445,937.35/401,873.63
  6. Step 6: Final answer
    x = 1,869,795.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.