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Finding the Third Proportional to 591,833 and 1,294,109

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Solution

The third proportional to 591,833 and 1,294,109 is: 2,829,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,833 : 1,294,109 = 1,294,109 : x
  2. Step 2: Convert to fraction form
    591,833/1,294,109 = 1,294,109/x
  3. Step 3: Cross multiply
    591,833x = 1,294,109 × 1,294,109
  4. Step 4: Simplify right side
    591,833x = 1,674,718,103,881
  5. Step 5: Solve for x
    x = 1,674,718,103,881/591,833
  6. Step 6: Final answer
    x = 2,829,713.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.