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Finding the Third Proportional to 2,057,801.63 and 4,431,663.56

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Solution

The third proportional to 2,057,801.63 and 4,431,663.56 is: 9,543,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,801.63 : 4,431,663.56 = 4,431,663.56 : x
  2. Step 2: Convert to fraction form
    2,057,801.63/4,431,663.56 = 4,431,663.56/x
  3. Step 3: Cross multiply
    2,057,801.63x = 4,431,663.56 × 4,431,663.56
  4. Step 4: Simplify right side
    2,057,801.63x = 19,639,641,931,190.19
  5. Step 5: Solve for x
    x = 19,639,641,931,190.19/2,057,801.63
  6. Step 6: Final answer
    x = 9,543,991.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.