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Finding the Third Proportional to 2,473,597.50 and 3,783,963

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Solution

The third proportional to 2,473,597.50 and 3,783,963 is: 5,788,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,597.50 : 3,783,963 = 3,783,963 : x
  2. Step 2: Convert to fraction form
    2,473,597.50/3,783,963 = 3,783,963/x
  3. Step 3: Cross multiply
    2,473,597.50x = 3,783,963 × 3,783,963
  4. Step 4: Simplify right side
    2,473,597.50x = 14,318,375,985,369
  5. Step 5: Solve for x
    x = 14,318,375,985,369/2,473,597.50
  6. Step 6: Final answer
    x = 5,788,482.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.