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Finding the Third Proportional to 502,611 and 1,083,948

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Solution

The third proportional to 502,611 and 1,083,948 is: 2,337,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,611 : 1,083,948 = 1,083,948 : x
  2. Step 2: Convert to fraction form
    502,611/1,083,948 = 1,083,948/x
  3. Step 3: Cross multiply
    502,611x = 1,083,948 × 1,083,948
  4. Step 4: Simplify right side
    502,611x = 1,174,943,266,704
  5. Step 5: Solve for x
    x = 1,174,943,266,704/502,611
  6. Step 6: Final answer
    x = 2,337,679.17

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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.