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Finding the Third Proportional to 3,216,809 and 4,900,683

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Solution

The third proportional to 3,216,809 and 4,900,683 is: 7,465,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216,809 : 4,900,683 = 4,900,683 : x
  2. Step 2: Convert to fraction form
    3,216,809/4,900,683 = 4,900,683/x
  3. Step 3: Cross multiply
    3,216,809x = 4,900,683 × 4,900,683
  4. Step 4: Simplify right side
    3,216,809x = 24,016,693,866,489
  5. Step 5: Solve for x
    x = 24,016,693,866,489/3,216,809
  6. Step 6: Final answer
    x = 7,465,999.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.