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Finding the Third Proportional to 2,048,978 and 4,496,537

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Solution

The third proportional to 2,048,978 and 4,496,537 is: 9,867,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,978 : 4,496,537 = 4,496,537 : x
  2. Step 2: Convert to fraction form
    2,048,978/4,496,537 = 4,496,537/x
  3. Step 3: Cross multiply
    2,048,978x = 4,496,537 × 4,496,537
  4. Step 4: Simplify right side
    2,048,978x = 20,218,844,992,369
  5. Step 5: Solve for x
    x = 20,218,844,992,369/2,048,978
  6. Step 6: Final answer
    x = 9,867,770.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.