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Finding the Third Proportional to 2,170,610 and 4,629,424

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Solution

The third proportional to 2,170,610 and 4,629,424 is: 9,873,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,610 : 4,629,424 = 4,629,424 : x
  2. Step 2: Convert to fraction form
    2,170,610/4,629,424 = 4,629,424/x
  3. Step 3: Cross multiply
    2,170,610x = 4,629,424 × 4,629,424
  4. Step 4: Simplify right side
    2,170,610x = 21,431,566,571,776
  5. Step 5: Solve for x
    x = 21,431,566,571,776/2,170,610
  6. Step 6: Final answer
    x = 9,873,522.45

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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.