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Finding the Third Proportional to 696,826.13 and 1,535,091.75

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Solution

The third proportional to 696,826.13 and 1,535,091.75 is: 3,381,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,826.13 : 1,535,091.75 = 1,535,091.75 : x
  2. Step 2: Convert to fraction form
    696,826.13/1,535,091.75 = 1,535,091.75/x
  3. Step 3: Cross multiply
    696,826.13x = 1,535,091.75 × 1,535,091.75
  4. Step 4: Simplify right side
    696,826.13x = 2,356,506,680,918.06
  5. Step 5: Solve for x
    x = 2,356,506,680,918.06/696,826.13
  6. Step 6: Final answer
    x = 3,381,771.43

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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.