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Finding the Third Proportional to 3,110,301.64 and 4,665,454.06

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Solution

The third proportional to 3,110,301.64 and 4,665,454.06 is: 6,998,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,301.64 : 4,665,454.06 = 4,665,454.06 : x
  2. Step 2: Convert to fraction form
    3,110,301.64/4,665,454.06 = 4,665,454.06/x
  3. Step 3: Cross multiply
    3,110,301.64x = 4,665,454.06 × 4,665,454.06
  4. Step 4: Simplify right side
    3,110,301.64x = 21,766,461,563,734.93
  5. Step 5: Solve for x
    x = 21,766,461,563,734.93/3,110,301.64
  6. Step 6: Final answer
    x = 6,998,183.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.