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Finding the Third Proportional to 967,747.50 and 2,185,223.06

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Solution

The third proportional to 967,747.50 and 2,185,223.06 is: 4,934,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,747.50 : 2,185,223.06 = 2,185,223.06 : x
  2. Step 2: Convert to fraction form
    967,747.50/2,185,223.06 = 2,185,223.06/x
  3. Step 3: Cross multiply
    967,747.50x = 2,185,223.06 × 2,185,223.06
  4. Step 4: Simplify right side
    967,747.50x = 4,775,199,832,881.88
  5. Step 5: Solve for x
    x = 4,775,199,832,881.88/967,747.50
  6. Step 6: Final answer
    x = 4,934,344.79

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.