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Finding the Third Proportional to 2,361,863.25 and 3,542,180.63

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Solution

The third proportional to 2,361,863.25 and 3,542,180.63 is: 5,312,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,863.25 : 3,542,180.63 = 3,542,180.63 : x
  2. Step 2: Convert to fraction form
    2,361,863.25/3,542,180.63 = 3,542,180.63/x
  3. Step 3: Cross multiply
    2,361,863.25x = 3,542,180.63 × 3,542,180.63
  4. Step 4: Simplify right side
    2,361,863.25x = 12,547,043,580,125.39
  5. Step 5: Solve for x
    x = 12,547,043,580,125.39/2,361,863.25
  6. Step 6: Final answer
    x = 5,312,349.72

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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.