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Finding the Third Proportional to 471,654 and 1,023,048

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Solution

The third proportional to 471,654 and 1,023,048 is: 2,219,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,654 : 1,023,048 = 1,023,048 : x
  2. Step 2: Convert to fraction form
    471,654/1,023,048 = 1,023,048/x
  3. Step 3: Cross multiply
    471,654x = 1,023,048 × 1,023,048
  4. Step 4: Simplify right side
    471,654x = 1,046,627,210,304
  5. Step 5: Solve for x
    x = 1,046,627,210,304/471,654
  6. Step 6: Final answer
    x = 2,219,057.21

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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.