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Finding the Third Proportional to 1,106,736 and 1,670,264

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Solution

The third proportional to 1,106,736 and 1,670,264 is: 2,520,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,736 : 1,670,264 = 1,670,264 : x
  2. Step 2: Convert to fraction form
    1,106,736/1,670,264 = 1,670,264/x
  3. Step 3: Cross multiply
    1,106,736x = 1,670,264 × 1,670,264
  4. Step 4: Simplify right side
    1,106,736x = 2,789,781,829,696
  5. Step 5: Solve for x
    x = 2,789,781,829,696/1,106,736
  6. Step 6: Final answer
    x = 2,520,729.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.