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Finding the Third Proportional to 759,591 and 1,164,753

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Solution

The third proportional to 759,591 and 1,164,753 is: 1,786,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,591 : 1,164,753 = 1,164,753 : x
  2. Step 2: Convert to fraction form
    759,591/1,164,753 = 1,164,753/x
  3. Step 3: Cross multiply
    759,591x = 1,164,753 × 1,164,753
  4. Step 4: Simplify right side
    759,591x = 1,356,649,551,009
  5. Step 5: Solve for x
    x = 1,356,649,551,009/759,591
  6. Step 6: Final answer
    x = 1,786,026.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.