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Finding the Third Proportional to 1,676,976 and 3,619,489.50

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Solution

The third proportional to 1,676,976 and 3,619,489.50 is: 7,812,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,976 : 3,619,489.50 = 3,619,489.50 : x
  2. Step 2: Convert to fraction form
    1,676,976/3,619,489.50 = 3,619,489.50/x
  3. Step 3: Cross multiply
    1,676,976x = 3,619,489.50 × 3,619,489.50
  4. Step 4: Simplify right side
    1,676,976x = 13,100,704,240,610.25
  5. Step 5: Solve for x
    x = 13,100,704,240,610.25/1,676,976
  6. Step 6: Final answer
    x = 7,812,100.02

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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.