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Finding the Third Proportional to 471,392 and 1,024,748

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Solution

The third proportional to 471,392 and 1,024,748 is: 2,227,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,392 : 1,024,748 = 1,024,748 : x
  2. Step 2: Convert to fraction form
    471,392/1,024,748 = 1,024,748/x
  3. Step 3: Cross multiply
    471,392x = 1,024,748 × 1,024,748
  4. Step 4: Simplify right side
    471,392x = 1,050,108,463,504
  5. Step 5: Solve for x
    x = 1,050,108,463,504/471,392
  6. Step 6: Final answer
    x = 2,227,675.61

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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.