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Finding the Third Proportional to 696,846 and 1,477,425.75

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Solution

The third proportional to 696,846 and 1,477,425.75 is: 3,132,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,846 : 1,477,425.75 = 1,477,425.75 : x
  2. Step 2: Convert to fraction form
    696,846/1,477,425.75 = 1,477,425.75/x
  3. Step 3: Cross multiply
    696,846x = 1,477,425.75 × 1,477,425.75
  4. Step 4: Simplify right side
    696,846x = 2,182,786,846,763.06
  5. Step 5: Solve for x
    x = 2,182,786,846,763.06/696,846
  6. Step 6: Final answer
    x = 3,132,380.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.