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Finding the Third Proportional to 753,072 and 1,615,296

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Solution

The third proportional to 753,072 and 1,615,296 is: 3,464,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,072 : 1,615,296 = 1,615,296 : x
  2. Step 2: Convert to fraction form
    753,072/1,615,296 = 1,615,296/x
  3. Step 3: Cross multiply
    753,072x = 1,615,296 × 1,615,296
  4. Step 4: Simplify right side
    753,072x = 2,609,181,167,616
  5. Step 5: Solve for x
    x = 2,609,181,167,616/753,072
  6. Step 6: Final answer
    x = 3,464,716.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.