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Finding the Third Proportional to 1,997,619 and 4,402,415

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Solution

The third proportional to 1,997,619 and 4,402,415 is: 9,702,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,619 : 4,402,415 = 4,402,415 : x
  2. Step 2: Convert to fraction form
    1,997,619/4,402,415 = 4,402,415/x
  3. Step 3: Cross multiply
    1,997,619x = 4,402,415 × 4,402,415
  4. Step 4: Simplify right side
    1,997,619x = 19,381,257,832,225
  5. Step 5: Solve for x
    x = 19,381,257,832,225/1,997,619
  6. Step 6: Final answer
    x = 9,702,179.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.