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Finding the Third Proportional to 474,116 and 1,026,928

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Solution

The third proportional to 474,116 and 1,026,928 is: 2,224,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,116 : 1,026,928 = 1,026,928 : x
  2. Step 2: Convert to fraction form
    474,116/1,026,928 = 1,026,928/x
  3. Step 3: Cross multiply
    474,116x = 1,026,928 × 1,026,928
  4. Step 4: Simplify right side
    474,116x = 1,054,581,117,184
  5. Step 5: Solve for x
    x = 1,054,581,117,184/474,116
  6. Step 6: Final answer
    x = 2,224,310.33

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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.