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Finding the Third Proportional to 836,649 and 1,722,829.50

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Solution

The third proportional to 836,649 and 1,722,829.50 is: 3,547,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,649 : 1,722,829.50 = 1,722,829.50 : x
  2. Step 2: Convert to fraction form
    836,649/1,722,829.50 = 1,722,829.50/x
  3. Step 3: Cross multiply
    836,649x = 1,722,829.50 × 1,722,829.50
  4. Step 4: Simplify right side
    836,649x = 2,968,141,486,070.25
  5. Step 5: Solve for x
    x = 2,968,141,486,070.25/836,649
  6. Step 6: Final answer
    x = 3,547,654.38

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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.