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Finding the Third Proportional to 581,813 and 1,234,054

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Solution

The third proportional to 581,813 and 1,234,054 is: 2,617,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,813 : 1,234,054 = 1,234,054 : x
  2. Step 2: Convert to fraction form
    581,813/1,234,054 = 1,234,054/x
  3. Step 3: Cross multiply
    581,813x = 1,234,054 × 1,234,054
  4. Step 4: Simplify right side
    581,813x = 1,522,889,274,916
  5. Step 5: Solve for x
    x = 1,522,889,274,916/581,813
  6. Step 6: Final answer
    x = 2,617,489.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.