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Finding the Third Proportional to 2,243,016 and 4,920,284.81

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Solution

The third proportional to 2,243,016 and 4,920,284.81 is: 10,793,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,016 : 4,920,284.81 = 4,920,284.81 : x
  2. Step 2: Convert to fraction form
    2,243,016/4,920,284.81 = 4,920,284.81/x
  3. Step 3: Cross multiply
    2,243,016x = 4,920,284.81 × 4,920,284.81
  4. Step 4: Simplify right side
    2,243,016x = 24,209,202,636,118.16
  5. Step 5: Solve for x
    x = 24,209,202,636,118.16/2,243,016
  6. Step 6: Final answer
    x = 10,793,147.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.