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Finding the Third Proportional to 3,569,860 and 5,438,430

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Solution

The third proportional to 3,569,860 and 5,438,430 is: 8,285,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,860 : 5,438,430 = 5,438,430 : x
  2. Step 2: Convert to fraction form
    3,569,860/5,438,430 = 5,438,430/x
  3. Step 3: Cross multiply
    3,569,860x = 5,438,430 × 5,438,430
  4. Step 4: Simplify right side
    3,569,860x = 29,576,520,864,900
  5. Step 5: Solve for x
    x = 29,576,520,864,900/3,569,860
  6. Step 6: Final answer
    x = 8,285,064.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.