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Finding the Third Proportional to 753,110 and 1,174,125

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Solution

The third proportional to 753,110 and 1,174,125 is: 1,830,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,110 : 1,174,125 = 1,174,125 : x
  2. Step 2: Convert to fraction form
    753,110/1,174,125 = 1,174,125/x
  3. Step 3: Cross multiply
    753,110x = 1,174,125 × 1,174,125
  4. Step 4: Simplify right side
    753,110x = 1,378,569,515,625
  5. Step 5: Solve for x
    x = 1,378,569,515,625/753,110
  6. Step 6: Final answer
    x = 1,830,502.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.