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Finding the Third Proportional to 836,697 and 1,722,909

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Solution

The third proportional to 836,697 and 1,722,909 is: 3,547,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,697 : 1,722,909 = 1,722,909 : x
  2. Step 2: Convert to fraction form
    836,697/1,722,909 = 1,722,909/x
  3. Step 3: Cross multiply
    836,697x = 1,722,909 × 1,722,909
  4. Step 4: Simplify right side
    836,697x = 2,968,415,422,281
  5. Step 5: Solve for x
    x = 2,968,415,422,281/836,697
  6. Step 6: Final answer
    x = 3,547,778.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.