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Finding the Third Proportional to 2,212,280 and 4,727,824

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Solution

The third proportional to 2,212,280 and 4,727,824 is: 10,103,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,280 : 4,727,824 = 4,727,824 : x
  2. Step 2: Convert to fraction form
    2,212,280/4,727,824 = 4,727,824/x
  3. Step 3: Cross multiply
    2,212,280x = 4,727,824 × 4,727,824
  4. Step 4: Simplify right side
    2,212,280x = 22,352,319,774,976
  5. Step 5: Solve for x
    x = 22,352,319,774,976/2,212,280
  6. Step 6: Final answer
    x = 10,103,748.07

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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.