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Finding the Third Proportional to 1,366,998 and 2,039,409

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Solution

The third proportional to 1,366,998 and 2,039,409 is: 3,042,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,998 : 2,039,409 = 2,039,409 : x
  2. Step 2: Convert to fraction form
    1,366,998/2,039,409 = 2,039,409/x
  3. Step 3: Cross multiply
    1,366,998x = 2,039,409 × 2,039,409
  4. Step 4: Simplify right side
    1,366,998x = 4,159,189,069,281
  5. Step 5: Solve for x
    x = 4,159,189,069,281/1,366,998
  6. Step 6: Final answer
    x = 3,042,571.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.