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Finding the Third Proportional to 1,105,264 and 1,706,736

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Solution

The third proportional to 1,105,264 and 1,706,736 is: 2,635,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,264 : 1,706,736 = 1,706,736 : x
  2. Step 2: Convert to fraction form
    1,105,264/1,706,736 = 1,706,736/x
  3. Step 3: Cross multiply
    1,105,264x = 1,706,736 × 1,706,736
  4. Step 4: Simplify right side
    1,105,264x = 2,912,947,773,696
  5. Step 5: Solve for x
    x = 2,912,947,773,696/1,105,264
  6. Step 6: Final answer
    x = 2,635,522.17

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