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Finding the Third Proportional to 2,171,184.75 and 3,193,612.31

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Solution

The third proportional to 2,171,184.75 and 3,193,612.31 is: 4,697,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,184.75 : 3,193,612.31 = 3,193,612.31 : x
  2. Step 2: Convert to fraction form
    2,171,184.75/3,193,612.31 = 3,193,612.31/x
  3. Step 3: Cross multiply
    2,171,184.75x = 3,193,612.31 × 3,193,612.31
  4. Step 4: Simplify right side
    2,171,184.75x = 10,199,159,602,551.60
  5. Step 5: Solve for x
    x = 10,199,159,602,551.60/2,171,184.75
  6. Step 6: Final answer
    x = 4,697,508.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.