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Finding the Third Proportional to 2,900,634 and 6,147,044

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Solution

The third proportional to 2,900,634 and 6,147,044 is: 13,026,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900,634 : 6,147,044 = 6,147,044 : x
  2. Step 2: Convert to fraction form
    2,900,634/6,147,044 = 6,147,044/x
  3. Step 3: Cross multiply
    2,900,634x = 6,147,044 × 6,147,044
  4. Step 4: Simplify right side
    2,900,634x = 37,786,149,937,936
  5. Step 5: Solve for x
    x = 37,786,149,937,936/2,900,634
  6. Step 6: Final answer
    x = 13,026,858.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.