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Finding the Third Proportional to 771,292 and 1,186,268

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Solution

The third proportional to 771,292 and 1,186,268 is: 1,824,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,292 : 1,186,268 = 1,186,268 : x
  2. Step 2: Convert to fraction form
    771,292/1,186,268 = 1,186,268/x
  3. Step 3: Cross multiply
    771,292x = 1,186,268 × 1,186,268
  4. Step 4: Simplify right side
    771,292x = 1,407,231,767,824
  5. Step 5: Solve for x
    x = 1,407,231,767,824/771,292
  6. Step 6: Final answer
    x = 1,824,512.33

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Why These Related Problems?

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