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Finding the Third Proportional to 2,230,422 and 4,748,556

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Solution

The third proportional to 2,230,422 and 4,748,556 is: 10,109,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230,422 : 4,748,556 = 4,748,556 : x
  2. Step 2: Convert to fraction form
    2,230,422/4,748,556 = 4,748,556/x
  3. Step 3: Cross multiply
    2,230,422x = 4,748,556 × 4,748,556
  4. Step 4: Simplify right side
    2,230,422x = 22,548,784,085,136
  5. Step 5: Solve for x
    x = 22,548,784,085,136/2,230,422
  6. Step 6: Final answer
    x = 10,109,649.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.