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Finding the Third Proportional to 530,739 and 1,121,382

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Solution

The third proportional to 530,739 and 1,121,382 is: 2,369,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,739 : 1,121,382 = 1,121,382 : x
  2. Step 2: Convert to fraction form
    530,739/1,121,382 = 1,121,382/x
  3. Step 3: Cross multiply
    530,739x = 1,121,382 × 1,121,382
  4. Step 4: Simplify right side
    530,739x = 1,257,497,589,924
  5. Step 5: Solve for x
    x = 1,257,497,589,924/530,739
  6. Step 6: Final answer
    x = 2,369,333.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.