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Finding the Third Proportional to 4,205,898 and 6,301,830

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Solution

The third proportional to 4,205,898 and 6,301,830 is: 9,442,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,898 : 6,301,830 = 6,301,830 : x
  2. Step 2: Convert to fraction form
    4,205,898/6,301,830 = 6,301,830/x
  3. Step 3: Cross multiply
    4,205,898x = 6,301,830 × 6,301,830
  4. Step 4: Simplify right side
    4,205,898x = 39,713,061,348,900
  5. Step 5: Solve for x
    x = 39,713,061,348,900/4,205,898
  6. Step 6: Final answer
    x = 9,442,231.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.