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Finding the Third Proportional to 4,819,420.50 and 6,425,178

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Solution

The third proportional to 4,819,420.50 and 6,425,178 is: 8,565,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,420.50 : 6,425,178 = 6,425,178 : x
  2. Step 2: Convert to fraction form
    4,819,420.50/6,425,178 = 6,425,178/x
  3. Step 3: Cross multiply
    4,819,420.50x = 6,425,178 × 6,425,178
  4. Step 4: Simplify right side
    4,819,420.50x = 41,282,912,331,684
  5. Step 5: Solve for x
    x = 41,282,912,331,684/4,819,420.50
  6. Step 6: Final answer
    x = 8,565,949.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.