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Finding the Third Proportional to 541,332 and 1,165,608

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Solution

The third proportional to 541,332 and 1,165,608 is: 2,509,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,332 : 1,165,608 = 1,165,608 : x
  2. Step 2: Convert to fraction form
    541,332/1,165,608 = 1,165,608/x
  3. Step 3: Cross multiply
    541,332x = 1,165,608 × 1,165,608
  4. Step 4: Simplify right side
    541,332x = 1,358,642,009,664
  5. Step 5: Solve for x
    x = 1,358,642,009,664/541,332
  6. Step 6: Final answer
    x = 2,509,812.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.