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Finding the Third Proportional to 633,182.91 and 1,384,598.81

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Solution

The third proportional to 633,182.91 and 1,384,598.81 is: 3,027,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,182.91 : 1,384,598.81 = 1,384,598.81 : x
  2. Step 2: Convert to fraction form
    633,182.91/1,384,598.81 = 1,384,598.81/x
  3. Step 3: Cross multiply
    633,182.91x = 1,384,598.81 × 1,384,598.81
  4. Step 4: Simplify right side
    633,182.91x = 1,917,113,871,576.41
  5. Step 5: Solve for x
    x = 1,917,113,871,576.41/633,182.91
  6. Step 6: Final answer
    x = 3,027,741.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.