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Finding the Third Proportional to 810,654.75 and 1,878,649.88

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Solution

The third proportional to 810,654.75 and 1,878,649.88 is: 4,353,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,654.75 : 1,878,649.88 = 1,878,649.88 : x
  2. Step 2: Convert to fraction form
    810,654.75/1,878,649.88 = 1,878,649.88/x
  3. Step 3: Cross multiply
    810,654.75x = 1,878,649.88 × 1,878,649.88
  4. Step 4: Simplify right side
    810,654.75x = 3,529,325,352,837.52
  5. Step 5: Solve for x
    x = 3,529,325,352,837.52/810,654.75
  6. Step 6: Final answer
    x = 4,353,672.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.