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Finding the Third Proportional to 2,212,272 and 4,727,808

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Solution

The third proportional to 2,212,272 and 4,727,808 is: 10,103,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,272 : 4,727,808 = 4,727,808 : x
  2. Step 2: Convert to fraction form
    2,212,272/4,727,808 = 4,727,808/x
  3. Step 3: Cross multiply
    2,212,272x = 4,727,808 × 4,727,808
  4. Step 4: Simplify right side
    2,212,272x = 22,352,168,484,864
  5. Step 5: Solve for x
    x = 22,352,168,484,864/2,212,272
  6. Step 6: Final answer
    x = 10,103,716.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.