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Finding the Third Proportional to 2,790,634 and 4,206,399

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Solution

The third proportional to 2,790,634 and 4,206,399 is: 6,340,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790,634 : 4,206,399 = 4,206,399 : x
  2. Step 2: Convert to fraction form
    2,790,634/4,206,399 = 4,206,399/x
  3. Step 3: Cross multiply
    2,790,634x = 4,206,399 × 4,206,399
  4. Step 4: Simplify right side
    2,790,634x = 17,693,792,547,201
  5. Step 5: Solve for x
    x = 17,693,792,547,201/2,790,634
  6. Step 6: Final answer
    x = 6,340,420.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.