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Finding the Third Proportional to 2,606,785.50 and 5,676,972

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Solution

The third proportional to 2,606,785.50 and 5,676,972 is: 12,363,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,785.50 : 5,676,972 = 5,676,972 : x
  2. Step 2: Convert to fraction form
    2,606,785.50/5,676,972 = 5,676,972/x
  3. Step 3: Cross multiply
    2,606,785.50x = 5,676,972 × 5,676,972
  4. Step 4: Simplify right side
    2,606,785.50x = 32,228,011,088,784
  5. Step 5: Solve for x
    x = 32,228,011,088,784/2,606,785.50
  6. Step 6: Final answer
    x = 12,363,123.51

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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.