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Finding the Third Proportional to 1,748,238 and 2,699,997

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Solution

The third proportional to 1,748,238 and 2,699,997 is: 4,169,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,238 : 2,699,997 = 2,699,997 : x
  2. Step 2: Convert to fraction form
    1,748,238/2,699,997 = 2,699,997/x
  3. Step 3: Cross multiply
    1,748,238x = 2,699,997 × 2,699,997
  4. Step 4: Simplify right side
    1,748,238x = 7,289,983,800,009
  5. Step 5: Solve for x
    x = 7,289,983,800,009/1,748,238
  6. Step 6: Final answer
    x = 4,169,903.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.