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Finding the Third Proportional to 2,286,827.44 and 3,344,287.50

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Solution

The third proportional to 2,286,827.44 and 3,344,287.50 is: 4,890,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,827.44 : 3,344,287.50 = 3,344,287.50 : x
  2. Step 2: Convert to fraction form
    2,286,827.44/3,344,287.50 = 3,344,287.50/x
  3. Step 3: Cross multiply
    2,286,827.44x = 3,344,287.50 × 3,344,287.50
  4. Step 4: Simplify right side
    2,286,827.44x = 11,184,258,882,656.25
  5. Step 5: Solve for x
    x = 11,184,258,882,656.25/2,286,827.44
  6. Step 6: Final answer
    x = 4,890,731.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.