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Finding the Third Proportional to 1,305,192 and 1,838,034

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Solution

The third proportional to 1,305,192 and 1,838,034 is: 2,588,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,192 : 1,838,034 = 1,838,034 : x
  2. Step 2: Convert to fraction form
    1,305,192/1,838,034 = 1,838,034/x
  3. Step 3: Cross multiply
    1,305,192x = 1,838,034 × 1,838,034
  4. Step 4: Simplify right side
    1,305,192x = 3,378,368,985,156
  5. Step 5: Solve for x
    x = 3,378,368,985,156/1,305,192
  6. Step 6: Final answer
    x = 2,588,407.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.