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Finding the Third Proportional to 2,246,432.50 and 4,912,768

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Solution

The third proportional to 2,246,432.50 and 4,912,768 is: 10,743,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246,432.50 : 4,912,768 = 4,912,768 : x
  2. Step 2: Convert to fraction form
    2,246,432.50/4,912,768 = 4,912,768/x
  3. Step 3: Cross multiply
    2,246,432.50x = 4,912,768 × 4,912,768
  4. Step 4: Simplify right side
    2,246,432.50x = 24,135,289,421,824
  5. Step 5: Solve for x
    x = 24,135,289,421,824/2,246,432.50
  6. Step 6: Final answer
    x = 10,743,830.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.