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Finding the Third Proportional to 1,397,314.13 and 2,993,827.50

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Solution

The third proportional to 1,397,314.13 and 2,993,827.50 is: 6,414,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,314.13 : 2,993,827.50 = 2,993,827.50 : x
  2. Step 2: Convert to fraction form
    1,397,314.13/2,993,827.50 = 2,993,827.50/x
  3. Step 3: Cross multiply
    1,397,314.13x = 2,993,827.50 × 2,993,827.50
  4. Step 4: Simplify right side
    1,397,314.13x = 8,963,003,099,756.25
  5. Step 5: Solve for x
    x = 8,963,003,099,756.25/1,397,314.13
  6. Step 6: Final answer
    x = 6,414,451.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.