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Finding the Third Proportional to 787,476.94 and 1,658,976.19

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Solution

The third proportional to 787,476.94 and 1,658,976.19 is: 3,494,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,476.94 : 1,658,976.19 = 1,658,976.19 : x
  2. Step 2: Convert to fraction form
    787,476.94/1,658,976.19 = 1,658,976.19/x
  3. Step 3: Cross multiply
    787,476.94x = 1,658,976.19 × 1,658,976.19
  4. Step 4: Simplify right side
    787,476.94x = 2,752,201,990,692.04
  5. Step 5: Solve for x
    x = 2,752,201,990,692.04/787,476.94
  6. Step 6: Final answer
    x = 3,494,962.02

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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.