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Finding the Third Proportional to 561,801.64 and 1,238,126.05

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Solution

The third proportional to 561,801.64 and 1,238,126.05 is: 2,728,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,801.64 : 1,238,126.05 = 1,238,126.05 : x
  2. Step 2: Convert to fraction form
    561,801.64/1,238,126.05 = 1,238,126.05/x
  3. Step 3: Cross multiply
    561,801.64x = 1,238,126.05 × 1,238,126.05
  4. Step 4: Simplify right side
    561,801.64x = 1,532,956,124,877.73
  5. Step 5: Solve for x
    x = 1,532,956,124,877.73/561,801.64
  6. Step 6: Final answer
    x = 2,728,643.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.