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Finding the Third Proportional to 2,047,671 and 4,458,523.50

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Solution

The third proportional to 2,047,671 and 4,458,523.50 is: 9,707,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,671 : 4,458,523.50 = 4,458,523.50 : x
  2. Step 2: Convert to fraction form
    2,047,671/4,458,523.50 = 4,458,523.50/x
  3. Step 3: Cross multiply
    2,047,671x = 4,458,523.50 × 4,458,523.50
  4. Step 4: Simplify right side
    2,047,671x = 19,878,431,800,052.25
  5. Step 5: Solve for x
    x = 19,878,431,800,052.25/2,047,671
  6. Step 6: Final answer
    x = 9,707,825.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.