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Finding the Third Proportional to 751,792 and 1,099,464

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Solution

The third proportional to 751,792 and 1,099,464 is: 1,607,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,792 : 1,099,464 = 1,099,464 : x
  2. Step 2: Convert to fraction form
    751,792/1,099,464 = 1,099,464/x
  3. Step 3: Cross multiply
    751,792x = 1,099,464 × 1,099,464
  4. Step 4: Simplify right side
    751,792x = 1,208,821,087,296
  5. Step 5: Solve for x
    x = 1,208,821,087,296/751,792
  6. Step 6: Final answer
    x = 1,607,919.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.