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Finding the Third Proportional to 1,965,622.75 and 4,204,501.13

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Solution

The third proportional to 1,965,622.75 and 4,204,501.13 is: 8,993,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,622.75 : 4,204,501.13 = 4,204,501.13 : x
  2. Step 2: Convert to fraction form
    1,965,622.75/4,204,501.13 = 4,204,501.13/x
  3. Step 3: Cross multiply
    1,965,622.75x = 4,204,501.13 × 4,204,501.13
  4. Step 4: Simplify right side
    1,965,622.75x = 17,677,829,710,126.27
  5. Step 5: Solve for x
    x = 17,677,829,710,126.27/1,965,622.75
  6. Step 6: Final answer
    x = 8,993,500.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.