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Finding the Third Proportional to 757,425 and 1,138,077

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Solution

The third proportional to 757,425 and 1,138,077 is: 1,710,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,425 : 1,138,077 = 1,138,077 : x
  2. Step 2: Convert to fraction form
    757,425/1,138,077 = 1,138,077/x
  3. Step 3: Cross multiply
    757,425x = 1,138,077 × 1,138,077
  4. Step 4: Simplify right side
    757,425x = 1,295,219,257,929
  5. Step 5: Solve for x
    x = 1,295,219,257,929/757,425
  6. Step 6: Final answer
    x = 1,710,029.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.