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Finding the Third Proportional to 947,056 and 1,448,772

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Solution

The third proportional to 947,056 and 1,448,772 is: 2,216,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,056 : 1,448,772 = 1,448,772 : x
  2. Step 2: Convert to fraction form
    947,056/1,448,772 = 1,448,772/x
  3. Step 3: Cross multiply
    947,056x = 1,448,772 × 1,448,772
  4. Step 4: Simplify right side
    947,056x = 2,098,940,307,984
  5. Step 5: Solve for x
    x = 2,098,940,307,984/947,056
  6. Step 6: Final answer
    x = 2,216,278.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.