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Finding the Third Proportional to 4,571,666.50 and 6,226,823

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Solution

The third proportional to 4,571,666.50 and 6,226,823 is: 8,481,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,666.50 : 6,226,823 = 6,226,823 : x
  2. Step 2: Convert to fraction form
    4,571,666.50/6,226,823 = 6,226,823/x
  3. Step 3: Cross multiply
    4,571,666.50x = 6,226,823 × 6,226,823
  4. Step 4: Simplify right side
    4,571,666.50x = 38,773,324,673,329
  5. Step 5: Solve for x
    x = 38,773,324,673,329/4,571,666.50
  6. Step 6: Final answer
    x = 8,481,223.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.