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Finding the Third Proportional to 2,027,840 and 4,429,628

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Solution

The third proportional to 2,027,840 and 4,429,628 is: 9,676,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,840 : 4,429,628 = 4,429,628 : x
  2. Step 2: Convert to fraction form
    2,027,840/4,429,628 = 4,429,628/x
  3. Step 3: Cross multiply
    2,027,840x = 4,429,628 × 4,429,628
  4. Step 4: Simplify right side
    2,027,840x = 19,621,604,218,384
  5. Step 5: Solve for x
    x = 19,621,604,218,384/2,027,840
  6. Step 6: Final answer
    x = 9,676,110.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.