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Finding the Third Proportional to 947,443.50 and 1,456,299

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Solution

The third proportional to 947,443.50 and 1,456,299 is: 2,238,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,443.50 : 1,456,299 = 1,456,299 : x
  2. Step 2: Convert to fraction form
    947,443.50/1,456,299 = 1,456,299/x
  3. Step 3: Cross multiply
    947,443.50x = 1,456,299 × 1,456,299
  4. Step 4: Simplify right side
    947,443.50x = 2,120,806,777,401
  5. Step 5: Solve for x
    x = 2,120,806,777,401/947,443.50
  6. Step 6: Final answer
    x = 2,238,451.98

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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.