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Finding the Third Proportional to 2,365,039.50 and 3,653,946

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Solution

The third proportional to 2,365,039.50 and 3,653,946 is: 5,645,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,039.50 : 3,653,946 = 3,653,946 : x
  2. Step 2: Convert to fraction form
    2,365,039.50/3,653,946 = 3,653,946/x
  3. Step 3: Cross multiply
    2,365,039.50x = 3,653,946 × 3,653,946
  4. Step 4: Simplify right side
    2,365,039.50x = 13,351,321,370,916
  5. Step 5: Solve for x
    x = 13,351,321,370,916/2,365,039.50
  6. Step 6: Final answer
    x = 5,645,284.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.