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Finding the Third Proportional to 475,128 and 1,024,522.88

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Solution

The third proportional to 475,128 and 1,024,522.88 is: 2,209,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,128 : 1,024,522.88 = 1,024,522.88 : x
  2. Step 2: Convert to fraction form
    475,128/1,024,522.88 = 1,024,522.88/x
  3. Step 3: Cross multiply
    475,128x = 1,024,522.88 × 1,024,522.88
  4. Step 4: Simplify right side
    475,128x = 1,049,647,121,398.27
  5. Step 5: Solve for x
    x = 1,049,647,121,398.27/475,128
  6. Step 6: Final answer
    x = 2,209,188.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.