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Finding the Third Proportional to 816,289 and 1,765,550

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Solution

The third proportional to 816,289 and 1,765,550 is: 3,818,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,289 : 1,765,550 = 1,765,550 : x
  2. Step 2: Convert to fraction form
    816,289/1,765,550 = 1,765,550/x
  3. Step 3: Cross multiply
    816,289x = 1,765,550 × 1,765,550
  4. Step 4: Simplify right side
    816,289x = 3,117,166,802,500
  5. Step 5: Solve for x
    x = 3,117,166,802,500/816,289
  6. Step 6: Final answer
    x = 3,818,704.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.