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Finding the Third Proportional to 478,034.16 and 1,027,115.44

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Solution

The third proportional to 478,034.16 and 1,027,115.44 is: 2,206,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,034.16 : 1,027,115.44 = 1,027,115.44 : x
  2. Step 2: Convert to fraction form
    478,034.16/1,027,115.44 = 1,027,115.44/x
  3. Step 3: Cross multiply
    478,034.16x = 1,027,115.44 × 1,027,115.44
  4. Step 4: Simplify right side
    478,034.16x = 1,054,966,121,950.82
  5. Step 5: Solve for x
    x = 1,054,966,121,950.82/478,034.16
  6. Step 6: Final answer
    x = 2,206,884.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.