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Finding the Third Proportional to 2,163,998 and 4,704,160

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Solution

The third proportional to 2,163,998 and 4,704,160 is: 10,226,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,998 : 4,704,160 = 4,704,160 : x
  2. Step 2: Convert to fraction form
    2,163,998/4,704,160 = 4,704,160/x
  3. Step 3: Cross multiply
    2,163,998x = 4,704,160 × 4,704,160
  4. Step 4: Simplify right side
    2,163,998x = 22,129,121,305,600
  5. Step 5: Solve for x
    x = 22,129,121,305,600/2,163,998
  6. Step 6: Final answer
    x = 10,226,035.93

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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.