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Finding the Third Proportional to 2,404,214 and 3,744,184

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Solution

The third proportional to 2,404,214 and 3,744,184 is: 5,830,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404,214 : 3,744,184 = 3,744,184 : x
  2. Step 2: Convert to fraction form
    2,404,214/3,744,184 = 3,744,184/x
  3. Step 3: Cross multiply
    2,404,214x = 3,744,184 × 3,744,184
  4. Step 4: Simplify right side
    2,404,214x = 14,018,913,825,856
  5. Step 5: Solve for x
    x = 14,018,913,825,856/2,404,214
  6. Step 6: Final answer
    x = 5,830,975.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.