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Finding the Third Proportional to 1,094,976 and 1,464,693

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Solution

The third proportional to 1,094,976 and 1,464,693 is: 1,959,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,976 : 1,464,693 = 1,464,693 : x
  2. Step 2: Convert to fraction form
    1,094,976/1,464,693 = 1,464,693/x
  3. Step 3: Cross multiply
    1,094,976x = 1,464,693 × 1,464,693
  4. Step 4: Simplify right side
    1,094,976x = 2,145,325,584,249
  5. Step 5: Solve for x
    x = 2,145,325,584,249/1,094,976
  6. Step 6: Final answer
    x = 1,959,244.39

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.