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Finding the Third Proportional to 993,731.63 and 2,144,836.13

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Solution

The third proportional to 993,731.63 and 2,144,836.13 is: 4,629,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,731.63 : 2,144,836.13 = 2,144,836.13 : x
  2. Step 2: Convert to fraction form
    993,731.63/2,144,836.13 = 2,144,836.13/x
  3. Step 3: Cross multiply
    993,731.63x = 2,144,836.13 × 2,144,836.13
  4. Step 4: Simplify right side
    993,731.63x = 4,600,322,003,105.02
  5. Step 5: Solve for x
    x = 4,600,322,003,105.02/993,731.63
  6. Step 6: Final answer
    x = 4,629,340.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.