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Finding the Third Proportional to 3,898,520 and 6,000,024

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Solution

The third proportional to 3,898,520 and 6,000,024 is: 9,234,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,520 : 6,000,024 = 6,000,024 : x
  2. Step 2: Convert to fraction form
    3,898,520/6,000,024 = 6,000,024/x
  3. Step 3: Cross multiply
    3,898,520x = 6,000,024 × 6,000,024
  4. Step 4: Simplify right side
    3,898,520x = 36,000,288,000,576
  5. Step 5: Solve for x
    x = 36,000,288,000,576/3,898,520
  6. Step 6: Final answer
    x = 9,234,347.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.