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Finding the Third Proportional to 2,473,599 and 3,783,965.25

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Solution

The third proportional to 2,473,599 and 3,783,965.25 is: 5,788,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,599 : 3,783,965.25 = 3,783,965.25 : x
  2. Step 2: Convert to fraction form
    2,473,599/3,783,965.25 = 3,783,965.25/x
  3. Step 3: Cross multiply
    2,473,599x = 3,783,965.25 × 3,783,965.25
  4. Step 4: Simplify right side
    2,473,599x = 14,318,393,013,207.56
  5. Step 5: Solve for x
    x = 14,318,393,013,207.56/2,473,599
  6. Step 6: Final answer
    x = 5,788,485.93

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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.