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Finding the Third Proportional to 919,086 and 1,346,588

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Solution

The third proportional to 919,086 and 1,346,588 is: 1,972,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,086 : 1,346,588 = 1,346,588 : x
  2. Step 2: Convert to fraction form
    919,086/1,346,588 = 1,346,588/x
  3. Step 3: Cross multiply
    919,086x = 1,346,588 × 1,346,588
  4. Step 4: Simplify right side
    919,086x = 1,813,299,241,744
  5. Step 5: Solve for x
    x = 1,813,299,241,744/919,086
  6. Step 6: Final answer
    x = 1,972,937.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.