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Finding the Third Proportional to 2,059,643 and 4,485,439

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Solution

The third proportional to 2,059,643 and 4,485,439 is: 9,768,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059,643 : 4,485,439 = 4,485,439 : x
  2. Step 2: Convert to fraction form
    2,059,643/4,485,439 = 4,485,439/x
  3. Step 3: Cross multiply
    2,059,643x = 4,485,439 × 4,485,439
  4. Step 4: Simplify right side
    2,059,643x = 20,119,163,022,721
  5. Step 5: Solve for x
    x = 20,119,163,022,721/2,059,643
  6. Step 6: Final answer
    x = 9,768,276.84

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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.