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Finding the Third Proportional to 1,461,530 and 3,187,984

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Solution

The third proportional to 1,461,530 and 3,187,984 is: 6,953,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,530 : 3,187,984 = 3,187,984 : x
  2. Step 2: Convert to fraction form
    1,461,530/3,187,984 = 3,187,984/x
  3. Step 3: Cross multiply
    1,461,530x = 3,187,984 × 3,187,984
  4. Step 4: Simplify right side
    1,461,530x = 10,163,241,984,256
  5. Step 5: Solve for x
    x = 10,163,241,984,256/1,461,530
  6. Step 6: Final answer
    x = 6,953,837.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.