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Finding the Third Proportional to 2,100,464 and 4,607,544

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Solution

The third proportional to 2,100,464 and 4,607,544 is: 10,107,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,464 : 4,607,544 = 4,607,544 : x
  2. Step 2: Convert to fraction form
    2,100,464/4,607,544 = 4,607,544/x
  3. Step 3: Cross multiply
    2,100,464x = 4,607,544 × 4,607,544
  4. Step 4: Simplify right side
    2,100,464x = 21,229,461,711,936
  5. Step 5: Solve for x
    x = 21,229,461,711,936/2,100,464
  6. Step 6: Final answer
    x = 10,107,034.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.