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Finding the Third Proportional to 713,116 and 1,583,696

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Solution

The third proportional to 713,116 and 1,583,696 is: 3,517,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,116 : 1,583,696 = 1,583,696 : x
  2. Step 2: Convert to fraction form
    713,116/1,583,696 = 1,583,696/x
  3. Step 3: Cross multiply
    713,116x = 1,583,696 × 1,583,696
  4. Step 4: Simplify right side
    713,116x = 2,508,093,020,416
  5. Step 5: Solve for x
    x = 2,508,093,020,416/713,116
  6. Step 6: Final answer
    x = 3,517,089.81

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.