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Finding the Third Proportional to 2,072,634 and 4,489,332

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Solution

The third proportional to 2,072,634 and 4,489,332 is: 9,723,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,634 : 4,489,332 = 4,489,332 : x
  2. Step 2: Convert to fraction form
    2,072,634/4,489,332 = 4,489,332/x
  3. Step 3: Cross multiply
    2,072,634x = 4,489,332 × 4,489,332
  4. Step 4: Simplify right side
    2,072,634x = 20,154,101,806,224
  5. Step 5: Solve for x
    x = 20,154,101,806,224/2,072,634
  6. Step 6: Final answer
    x = 9,723,907.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.