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Finding the Third Proportional to 593,254.13 and 1,284,923.25

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Solution

The third proportional to 593,254.13 and 1,284,923.25 is: 2,783,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,254.13 : 1,284,923.25 = 1,284,923.25 : x
  2. Step 2: Convert to fraction form
    593,254.13/1,284,923.25 = 1,284,923.25/x
  3. Step 3: Cross multiply
    593,254.13x = 1,284,923.25 × 1,284,923.25
  4. Step 4: Simplify right side
    593,254.13x = 1,651,027,758,390.56
  5. Step 5: Solve for x
    x = 1,651,027,758,390.56/593,254.13
  6. Step 6: Final answer
    x = 2,783,002.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.