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Finding the Third Proportional to 758,080 and 1,632,800

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Solution

The third proportional to 758,080 and 1,632,800 is: 3,516,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,080 : 1,632,800 = 1,632,800 : x
  2. Step 2: Convert to fraction form
    758,080/1,632,800 = 1,632,800/x
  3. Step 3: Cross multiply
    758,080x = 1,632,800 × 1,632,800
  4. Step 4: Simplify right side
    758,080x = 2,666,035,840,000
  5. Step 5: Solve for x
    x = 2,666,035,840,000/758,080
  6. Step 6: Final answer
    x = 3,516,826.51

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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.