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Finding the Third Proportional to 2,325,742.50 and 4,933,248

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Solution

The third proportional to 2,325,742.50 and 4,933,248 is: 10,464,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,742.50 : 4,933,248 = 4,933,248 : x
  2. Step 2: Convert to fraction form
    2,325,742.50/4,933,248 = 4,933,248/x
  3. Step 3: Cross multiply
    2,325,742.50x = 4,933,248 × 4,933,248
  4. Step 4: Simplify right side
    2,325,742.50x = 24,336,935,829,504
  5. Step 5: Solve for x
    x = 24,336,935,829,504/2,325,742.50
  6. Step 6: Final answer
    x = 10,464,157.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.