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Finding the Third Proportional to 1,533,079.50 and 3,225,063

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Solution

The third proportional to 1,533,079.50 and 3,225,063 is: 6,784,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,079.50 : 3,225,063 = 3,225,063 : x
  2. Step 2: Convert to fraction form
    1,533,079.50/3,225,063 = 3,225,063/x
  3. Step 3: Cross multiply
    1,533,079.50x = 3,225,063 × 3,225,063
  4. Step 4: Simplify right side
    1,533,079.50x = 10,401,031,353,969
  5. Step 5: Solve for x
    x = 10,401,031,353,969/1,533,079.50
  6. Step 6: Final answer
    x = 6,784,404.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.