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Finding the Third Proportional to 3,296,920 and 6,948,080

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Solution

The third proportional to 3,296,920 and 6,948,080 is: 14,642,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,920 : 6,948,080 = 6,948,080 : x
  2. Step 2: Convert to fraction form
    3,296,920/6,948,080 = 6,948,080/x
  3. Step 3: Cross multiply
    3,296,920x = 6,948,080 × 6,948,080
  4. Step 4: Simplify right side
    3,296,920x = 48,275,815,686,400
  5. Step 5: Solve for x
    x = 48,275,815,686,400/3,296,920
  6. Step 6: Final answer
    x = 14,642,701.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.