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Finding the Third Proportional to 1,797,756.75 and 3,851,392.50

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Solution

The third proportional to 1,797,756.75 and 3,851,392.50 is: 8,250,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,756.75 : 3,851,392.50 = 3,851,392.50 : x
  2. Step 2: Convert to fraction form
    1,797,756.75/3,851,392.50 = 3,851,392.50/x
  3. Step 3: Cross multiply
    1,797,756.75x = 3,851,392.50 × 3,851,392.50
  4. Step 4: Simplify right side
    1,797,756.75x = 14,833,224,189,056.25
  5. Step 5: Solve for x
    x = 14,833,224,189,056.25/1,797,756.75
  6. Step 6: Final answer
    x = 8,250,962.87

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Why These Related Problems?

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