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Finding the Third Proportional to 856,767.93 and 1,861,235.24

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Solution

The third proportional to 856,767.93 and 1,861,235.24 is: 4,043,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,767.93 : 1,861,235.24 = 1,861,235.24 : x
  2. Step 2: Convert to fraction form
    856,767.93/1,861,235.24 = 1,861,235.24/x
  3. Step 3: Cross multiply
    856,767.93x = 1,861,235.24 × 1,861,235.24
  4. Step 4: Simplify right side
    856,767.93x = 3,464,196,634,031.12
  5. Step 5: Solve for x
    x = 3,464,196,634,031.12/856,767.93
  6. Step 6: Final answer
    x = 4,043,331.36

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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.