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Finding the Third Proportional to 1,780,669.83 and 2,758,968.84

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Solution

The third proportional to 1,780,669.83 and 2,758,968.84 is: 4,274,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,669.83 : 2,758,968.84 = 2,758,968.84 : x
  2. Step 2: Convert to fraction form
    1,780,669.83/2,758,968.84 = 2,758,968.84/x
  3. Step 3: Cross multiply
    1,780,669.83x = 2,758,968.84 × 2,758,968.84
  4. Step 4: Simplify right side
    1,780,669.83x = 7,611,909,080,783.21
  5. Step 5: Solve for x
    x = 7,611,909,080,783.21/1,780,669.83
  6. Step 6: Final answer
    x = 4,274,744.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.