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Finding the Third Proportional to 593,826.19 and 1,294,830.56

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Solution

The third proportional to 593,826.19 and 1,294,830.56 is: 2,823,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,826.19 : 1,294,830.56 = 1,294,830.56 : x
  2. Step 2: Convert to fraction form
    593,826.19/1,294,830.56 = 1,294,830.56/x
  3. Step 3: Cross multiply
    593,826.19x = 1,294,830.56 × 1,294,830.56
  4. Step 4: Simplify right side
    593,826.19x = 1,676,586,185,584.07
  5. Step 5: Solve for x
    x = 1,676,586,185,584.07/593,826.19
  6. Step 6: Final answer
    x = 2,823,361.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.