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Finding the Third Proportional to 2,170,824 and 4,539,720

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Solution

The third proportional to 2,170,824 and 4,539,720 is: 9,493,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,824 : 4,539,720 = 4,539,720 : x
  2. Step 2: Convert to fraction form
    2,170,824/4,539,720 = 4,539,720/x
  3. Step 3: Cross multiply
    2,170,824x = 4,539,720 × 4,539,720
  4. Step 4: Simplify right side
    2,170,824x = 20,609,057,678,400
  5. Step 5: Solve for x
    x = 20,609,057,678,400/2,170,824
  6. Step 6: Final answer
    x = 9,493,656.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.