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Finding the Third Proportional to 701,394 and 1,534,036

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Solution

The third proportional to 701,394 and 1,534,036 is: 3,355,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,394 : 1,534,036 = 1,534,036 : x
  2. Step 2: Convert to fraction form
    701,394/1,534,036 = 1,534,036/x
  3. Step 3: Cross multiply
    701,394x = 1,534,036 × 1,534,036
  4. Step 4: Simplify right side
    701,394x = 2,353,266,449,296
  5. Step 5: Solve for x
    x = 2,353,266,449,296/701,394
  6. Step 6: Final answer
    x = 3,355,127.72

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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.