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Finding the Third Proportional to 1,688,268 and 3,696,723

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Solution

The third proportional to 1,688,268 and 3,696,723 is: 8,094,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,268 : 3,696,723 = 3,696,723 : x
  2. Step 2: Convert to fraction form
    1,688,268/3,696,723 = 3,696,723/x
  3. Step 3: Cross multiply
    1,688,268x = 3,696,723 × 3,696,723
  4. Step 4: Simplify right side
    1,688,268x = 13,665,760,938,729
  5. Step 5: Solve for x
    x = 13,665,760,938,729/1,688,268
  6. Step 6: Final answer
    x = 8,094,544.79

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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.