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Finding the Third Proportional to 2,365,052 and 3,653,965

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Solution

The third proportional to 2,365,052 and 3,653,965 is: 5,645,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,052 : 3,653,965 = 3,653,965 : x
  2. Step 2: Convert to fraction form
    2,365,052/3,653,965 = 3,653,965/x
  3. Step 3: Cross multiply
    2,365,052x = 3,653,965 × 3,653,965
  4. Step 4: Simplify right side
    2,365,052x = 13,351,460,221,225
  5. Step 5: Solve for x
    x = 13,351,460,221,225/2,365,052
  6. Step 6: Final answer
    x = 5,645,313.60

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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.