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Finding the Third Proportional to 2,433,184 and 3,668,468

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Solution

The third proportional to 2,433,184 and 3,668,468 is: 5,530,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,184 : 3,668,468 = 3,668,468 : x
  2. Step 2: Convert to fraction form
    2,433,184/3,668,468 = 3,668,468/x
  3. Step 3: Cross multiply
    2,433,184x = 3,668,468 × 3,668,468
  4. Step 4: Simplify right side
    2,433,184x = 13,457,657,467,024
  5. Step 5: Solve for x
    x = 13,457,657,467,024/2,433,184
  6. Step 6: Final answer
    x = 5,530,883.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.