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Finding the Third Proportional to 475,820.27 and 1,027,483.14

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Solution

The third proportional to 475,820.27 and 1,027,483.14 is: 2,218,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,820.27 : 1,027,483.14 = 1,027,483.14 : x
  2. Step 2: Convert to fraction form
    475,820.27/1,027,483.14 = 1,027,483.14/x
  3. Step 3: Cross multiply
    475,820.27x = 1,027,483.14 × 1,027,483.14
  4. Step 4: Simplify right side
    475,820.27x = 1,055,721,605,272.05
  5. Step 5: Solve for x
    x = 1,055,721,605,272.05/475,820.27
  6. Step 6: Final answer
    x = 2,218,740.31

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Why These Related Problems?

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