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Finding the Third Proportional to 502,590 and 1,083,908

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Solution

The third proportional to 502,590 and 1,083,908 is: 2,337,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,590 : 1,083,908 = 1,083,908 : x
  2. Step 2: Convert to fraction form
    502,590/1,083,908 = 1,083,908/x
  3. Step 3: Cross multiply
    502,590x = 1,083,908 × 1,083,908
  4. Step 4: Simplify right side
    502,590x = 1,174,856,552,464
  5. Step 5: Solve for x
    x = 1,174,856,552,464/502,590
  6. Step 6: Final answer
    x = 2,337,604.31

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