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Finding the Third Proportional to 2,361,863 and 3,542,178

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Solution

The third proportional to 2,361,863 and 3,542,178 is: 5,312,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,863 : 3,542,178 = 3,542,178 : x
  2. Step 2: Convert to fraction form
    2,361,863/3,542,178 = 3,542,178/x
  3. Step 3: Cross multiply
    2,361,863x = 3,542,178 × 3,542,178
  4. Step 4: Simplify right side
    2,361,863x = 12,547,024,983,684
  5. Step 5: Solve for x
    x = 12,547,024,983,684/2,361,863
  6. Step 6: Final answer
    x = 5,312,342.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.