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Finding the Third Proportional to 4,324,413 and 6,082,837.50

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Solution

The third proportional to 4,324,413 and 6,082,837.50 is: 8,556,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324,413 : 6,082,837.50 = 6,082,837.50 : x
  2. Step 2: Convert to fraction form
    4,324,413/6,082,837.50 = 6,082,837.50/x
  3. Step 3: Cross multiply
    4,324,413x = 6,082,837.50 × 6,082,837.50
  4. Step 4: Simplify right side
    4,324,413x = 37,000,912,051,406.25
  5. Step 5: Solve for x
    x = 37,000,912,051,406.25/4,324,413
  6. Step 6: Final answer
    x = 8,556,285.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.