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Finding the Third Proportional to 599,829 and 1,267,090

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Solution

The third proportional to 599,829 and 1,267,090 is: 2,676,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,829 : 1,267,090 = 1,267,090 : x
  2. Step 2: Convert to fraction form
    599,829/1,267,090 = 1,267,090/x
  3. Step 3: Cross multiply
    599,829x = 1,267,090 × 1,267,090
  4. Step 4: Simplify right side
    599,829x = 1,605,517,068,100
  5. Step 5: Solve for x
    x = 1,605,517,068,100/599,829
  6. Step 6: Final answer
    x = 2,676,624.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.