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Finding the Third Proportional to 2,117,170 and 4,507,446

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Solution

The third proportional to 2,117,170 and 4,507,446 is: 9,596,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,170 : 4,507,446 = 4,507,446 : x
  2. Step 2: Convert to fraction form
    2,117,170/4,507,446 = 4,507,446/x
  3. Step 3: Cross multiply
    2,117,170x = 4,507,446 × 4,507,446
  4. Step 4: Simplify right side
    2,117,170x = 20,317,069,442,916
  5. Step 5: Solve for x
    x = 20,317,069,442,916/2,117,170
  6. Step 6: Final answer
    x = 9,596,333.52

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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.