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Finding the Third Proportional to 4,571,671.50 and 6,226,830

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Solution

The third proportional to 4,571,671.50 and 6,226,830 is: 8,481,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,671.50 : 6,226,830 = 6,226,830 : x
  2. Step 2: Convert to fraction form
    4,571,671.50/6,226,830 = 6,226,830/x
  3. Step 3: Cross multiply
    4,571,671.50x = 6,226,830 × 6,226,830
  4. Step 4: Simplify right side
    4,571,671.50x = 38,773,411,848,900
  5. Step 5: Solve for x
    x = 38,773,411,848,900/4,571,671.50
  6. Step 6: Final answer
    x = 8,481,233.14

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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.