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Finding the Third Proportional to 1,164,768 and 2,546,736

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Solution

The third proportional to 1,164,768 and 2,546,736 is: 5,568,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,768 : 2,546,736 = 2,546,736 : x
  2. Step 2: Convert to fraction form
    1,164,768/2,546,736 = 2,546,736/x
  3. Step 3: Cross multiply
    1,164,768x = 2,546,736 × 2,546,736
  4. Step 4: Simplify right side
    1,164,768x = 6,485,864,253,696
  5. Step 5: Solve for x
    x = 6,485,864,253,696/1,164,768
  6. Step 6: Final answer
    x = 5,568,374.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.