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Finding the Third Proportional to 851,160 and 1,259,910

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Solution

The third proportional to 851,160 and 1,259,910 is: 1,864,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,160 : 1,259,910 = 1,259,910 : x
  2. Step 2: Convert to fraction form
    851,160/1,259,910 = 1,259,910/x
  3. Step 3: Cross multiply
    851,160x = 1,259,910 × 1,259,910
  4. Step 4: Simplify right side
    851,160x = 1,587,373,208,100
  5. Step 5: Solve for x
    x = 1,587,373,208,100/851,160
  6. Step 6: Final answer
    x = 1,864,952.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.