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Finding the Third Proportional to 1,994,186.25 and 2,990,526.75

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Solution

The third proportional to 1,994,186.25 and 2,990,526.75 is: 4,484,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,186.25 : 2,990,526.75 = 2,990,526.75 : x
  2. Step 2: Convert to fraction form
    1,994,186.25/2,990,526.75 = 2,990,526.75/x
  3. Step 3: Cross multiply
    1,994,186.25x = 2,990,526.75 × 2,990,526.75
  4. Step 4: Simplify right side
    1,994,186.25x = 8,943,250,242,465.56
  5. Step 5: Solve for x
    x = 8,943,250,242,465.56/1,994,186.25
  6. Step 6: Final answer
    x = 4,484,661.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.