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Finding the Third Proportional to 665,022.38 and 1,031,840.44

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Solution

The third proportional to 665,022.38 and 1,031,840.44 is: 1,600,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,022.38 : 1,031,840.44 = 1,031,840.44 : x
  2. Step 2: Convert to fraction form
    665,022.38/1,031,840.44 = 1,031,840.44/x
  3. Step 3: Cross multiply
    665,022.38x = 1,031,840.44 × 1,031,840.44
  4. Step 4: Simplify right side
    665,022.38x = 1,064,694,688,460.19
  5. Step 5: Solve for x
    x = 1,064,694,688,460.19/665,022.38
  6. Step 6: Final answer
    x = 1,600,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.