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Finding the Third Proportional to 1,184,944 and 1,693,288

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Solution

The third proportional to 1,184,944 and 1,693,288 is: 2,419,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,944 : 1,693,288 = 1,693,288 : x
  2. Step 2: Convert to fraction form
    1,184,944/1,693,288 = 1,693,288/x
  3. Step 3: Cross multiply
    1,184,944x = 1,693,288 × 1,693,288
  4. Step 4: Simplify right side
    1,184,944x = 2,867,224,250,944
  5. Step 5: Solve for x
    x = 2,867,224,250,944/1,184,944
  6. Step 6: Final answer
    x = 2,419,712.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.