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Finding the Third Proportional to 839,101 and 1,242,914

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Solution

The third proportional to 839,101 and 1,242,914 is: 1,841,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,101 : 1,242,914 = 1,242,914 : x
  2. Step 2: Convert to fraction form
    839,101/1,242,914 = 1,242,914/x
  3. Step 3: Cross multiply
    839,101x = 1,242,914 × 1,242,914
  4. Step 4: Simplify right side
    839,101x = 1,544,835,211,396
  5. Step 5: Solve for x
    x = 1,544,835,211,396/839,101
  6. Step 6: Final answer
    x = 1,841,059.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.