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Finding the Third Proportional to 947,433 and 1,456,291.50

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Solution

The third proportional to 947,433 and 1,456,291.50 is: 2,238,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,433 : 1,456,291.50 = 1,456,291.50 : x
  2. Step 2: Convert to fraction form
    947,433/1,456,291.50 = 1,456,291.50/x
  3. Step 3: Cross multiply
    947,433x = 1,456,291.50 × 1,456,291.50
  4. Step 4: Simplify right side
    947,433x = 2,120,784,932,972.25
  5. Step 5: Solve for x
    x = 2,120,784,932,972.25/947,433
  6. Step 6: Final answer
    x = 2,238,453.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.