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Finding the Third Proportional to 967,242.75 and 2,049,698.25

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Solution

The third proportional to 967,242.75 and 2,049,698.25 is: 4,343,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,242.75 : 2,049,698.25 = 2,049,698.25 : x
  2. Step 2: Convert to fraction form
    967,242.75/2,049,698.25 = 2,049,698.25/x
  3. Step 3: Cross multiply
    967,242.75x = 2,049,698.25 × 2,049,698.25
  4. Step 4: Simplify right side
    967,242.75x = 4,201,262,916,053.06
  5. Step 5: Solve for x
    x = 4,201,262,916,053.06/967,242.75
  6. Step 6: Final answer
    x = 4,343,545.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.