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Finding the Third Proportional to 583,126.31 and 1,212,806.25

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Solution

The third proportional to 583,126.31 and 1,212,806.25 is: 2,522,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,126.31 : 1,212,806.25 = 1,212,806.25 : x
  2. Step 2: Convert to fraction form
    583,126.31/1,212,806.25 = 1,212,806.25/x
  3. Step 3: Cross multiply
    583,126.31x = 1,212,806.25 × 1,212,806.25
  4. Step 4: Simplify right side
    583,126.31x = 1,470,899,000,039.06
  5. Step 5: Solve for x
    x = 1,470,899,000,039.06/583,126.31
  6. Step 6: Final answer
    x = 2,522,436.34

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.