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Finding the Third Proportional to 1,520,767.50 and 2,353,950

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Solution

The third proportional to 1,520,767.50 and 2,353,950 is: 3,643,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,767.50 : 2,353,950 = 2,353,950 : x
  2. Step 2: Convert to fraction form
    1,520,767.50/2,353,950 = 2,353,950/x
  3. Step 3: Cross multiply
    1,520,767.50x = 2,353,950 × 2,353,950
  4. Step 4: Simplify right side
    1,520,767.50x = 5,541,080,602,500
  5. Step 5: Solve for x
    x = 5,541,080,602,500/1,520,767.50
  6. Step 6: Final answer
    x = 3,643,607.98

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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.