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Finding the Third Proportional to 4,202,592 and 6,425,892

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Solution

The third proportional to 4,202,592 and 6,425,892 is: 9,825,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202,592 : 6,425,892 = 6,425,892 : x
  2. Step 2: Convert to fraction form
    4,202,592/6,425,892 = 6,425,892/x
  3. Step 3: Cross multiply
    4,202,592x = 6,425,892 × 6,425,892
  4. Step 4: Simplify right side
    4,202,592x = 41,292,087,995,664
  5. Step 5: Solve for x
    x = 41,292,087,995,664/4,202,592
  6. Step 6: Final answer
    x = 9,825,385.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.