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Finding the Third Proportional to 2,319,346.50 and 3,728,337

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Solution

The third proportional to 2,319,346.50 and 3,728,337 is: 5,993,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319,346.50 : 3,728,337 = 3,728,337 : x
  2. Step 2: Convert to fraction form
    2,319,346.50/3,728,337 = 3,728,337/x
  3. Step 3: Cross multiply
    2,319,346.50x = 3,728,337 × 3,728,337
  4. Step 4: Simplify right side
    2,319,346.50x = 13,900,496,785,569
  5. Step 5: Solve for x
    x = 13,900,496,785,569/2,319,346.50
  6. Step 6: Final answer
    x = 5,993,281.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.