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Finding the Third Proportional to 757,426 and 1,138,102

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Solution

The third proportional to 757,426 and 1,138,102 is: 1,710,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,426 : 1,138,102 = 1,138,102 : x
  2. Step 2: Convert to fraction form
    757,426/1,138,102 = 1,138,102/x
  3. Step 3: Cross multiply
    757,426x = 1,138,102 × 1,138,102
  4. Step 4: Simplify right side
    757,426x = 1,295,276,162,404
  5. Step 5: Solve for x
    x = 1,295,276,162,404/757,426
  6. Step 6: Final answer
    x = 1,710,102.59

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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.