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Finding the Third Proportional to 2,299,698 and 4,837,714

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Solution

The third proportional to 2,299,698 and 4,837,714 is: 10,176,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,698 : 4,837,714 = 4,837,714 : x
  2. Step 2: Convert to fraction form
    2,299,698/4,837,714 = 4,837,714/x
  3. Step 3: Cross multiply
    2,299,698x = 4,837,714 × 4,837,714
  4. Step 4: Simplify right side
    2,299,698x = 23,403,476,745,796
  5. Step 5: Solve for x
    x = 23,403,476,745,796/2,299,698
  6. Step 6: Final answer
    x = 10,176,760.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.