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Finding the Third Proportional to 592,052 and 1,278,816

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Solution

The third proportional to 592,052 and 1,278,816 is: 2,762,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,052 : 1,278,816 = 1,278,816 : x
  2. Step 2: Convert to fraction form
    592,052/1,278,816 = 1,278,816/x
  3. Step 3: Cross multiply
    592,052x = 1,278,816 × 1,278,816
  4. Step 4: Simplify right side
    592,052x = 1,635,370,361,856
  5. Step 5: Solve for x
    x = 1,635,370,361,856/592,052
  6. Step 6: Final answer
    x = 2,762,207.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.