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Finding the Third Proportional to 472,848 and 1,026,072

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Solution

The third proportional to 472,848 and 1,026,072 is: 2,226,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,848 : 1,026,072 = 1,026,072 : x
  2. Step 2: Convert to fraction form
    472,848/1,026,072 = 1,026,072/x
  3. Step 3: Cross multiply
    472,848x = 1,026,072 × 1,026,072
  4. Step 4: Simplify right side
    472,848x = 1,052,823,749,184
  5. Step 5: Solve for x
    x = 1,052,823,749,184/472,848
  6. Step 6: Final answer
    x = 2,226,558.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.