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Finding the Third Proportional to 610,837.50 and 1,238,091

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Solution

The third proportional to 610,837.50 and 1,238,091 is: 2,509,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,837.50 : 1,238,091 = 1,238,091 : x
  2. Step 2: Convert to fraction form
    610,837.50/1,238,091 = 1,238,091/x
  3. Step 3: Cross multiply
    610,837.50x = 1,238,091 × 1,238,091
  4. Step 4: Simplify right side
    610,837.50x = 1,532,869,324,281
  5. Step 5: Solve for x
    x = 1,532,869,324,281/610,837.50
  6. Step 6: Final answer
    x = 2,509,455.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.