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Finding the Third Proportional to 767,258 and 1,161,546

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Solution

The third proportional to 767,258 and 1,161,546 is: 1,758,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,258 : 1,161,546 = 1,161,546 : x
  2. Step 2: Convert to fraction form
    767,258/1,161,546 = 1,161,546/x
  3. Step 3: Cross multiply
    767,258x = 1,161,546 × 1,161,546
  4. Step 4: Simplify right side
    767,258x = 1,349,189,110,116
  5. Step 5: Solve for x
    x = 1,349,189,110,116/767,258
  6. Step 6: Final answer
    x = 1,758,455.58

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Why These Related Problems?

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