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Finding the Third Proportional to 2,029,762 and 4,365,704

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Solution

The third proportional to 2,029,762 and 4,365,704 is: 9,389,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,762 : 4,365,704 = 4,365,704 : x
  2. Step 2: Convert to fraction form
    2,029,762/4,365,704 = 4,365,704/x
  3. Step 3: Cross multiply
    2,029,762x = 4,365,704 × 4,365,704
  4. Step 4: Simplify right side
    2,029,762x = 19,059,371,415,616
  5. Step 5: Solve for x
    x = 19,059,371,415,616/2,029,762
  6. Step 6: Final answer
    x = 9,389,953.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.