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Finding the Third Proportional to 993,719.25 and 2,144,902.50

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Solution

The third proportional to 993,719.25 and 2,144,902.50 is: 4,629,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,719.25 : 2,144,902.50 = 2,144,902.50 : x
  2. Step 2: Convert to fraction form
    993,719.25/2,144,902.50 = 2,144,902.50/x
  3. Step 3: Cross multiply
    993,719.25x = 2,144,902.50 × 2,144,902.50
  4. Step 4: Simplify right side
    993,719.25x = 4,600,606,734,506.25
  5. Step 5: Solve for x
    x = 4,600,606,734,506.25/993,719.25
  6. Step 6: Final answer
    x = 4,629,684.63

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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.