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Finding the Third Proportional to 2,231,495 and 4,878,760

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Solution

The third proportional to 2,231,495 and 4,878,760 is: 10,666,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,495 : 4,878,760 = 4,878,760 : x
  2. Step 2: Convert to fraction form
    2,231,495/4,878,760 = 4,878,760/x
  3. Step 3: Cross multiply
    2,231,495x = 4,878,760 × 4,878,760
  4. Step 4: Simplify right side
    2,231,495x = 23,802,299,137,600
  5. Step 5: Solve for x
    x = 23,802,299,137,600/2,231,495
  6. Step 6: Final answer
    x = 10,666,525.87

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Why These Related Problems?

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