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Finding the Third Proportional to 1,105,746 and 2,365,192

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Solution

The third proportional to 1,105,746 and 2,365,192 is: 5,059,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,746 : 2,365,192 = 2,365,192 : x
  2. Step 2: Convert to fraction form
    1,105,746/2,365,192 = 2,365,192/x
  3. Step 3: Cross multiply
    1,105,746x = 2,365,192 × 2,365,192
  4. Step 4: Simplify right side
    1,105,746x = 5,594,133,196,864
  5. Step 5: Solve for x
    x = 5,594,133,196,864/1,105,746
  6. Step 6: Final answer
    x = 5,059,148.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.