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Finding the Third Proportional to 633,700.13 and 1,409,082.75

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Solution

The third proportional to 633,700.13 and 1,409,082.75 is: 3,133,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,700.13 : 1,409,082.75 = 1,409,082.75 : x
  2. Step 2: Convert to fraction form
    633,700.13/1,409,082.75 = 1,409,082.75/x
  3. Step 3: Cross multiply
    633,700.13x = 1,409,082.75 × 1,409,082.75
  4. Step 4: Simplify right side
    633,700.13x = 1,985,514,196,347.56
  5. Step 5: Solve for x
    x = 1,985,514,196,347.56/633,700.13
  6. Step 6: Final answer
    x = 3,133,207.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.