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Finding the Third Proportional to 1,900,664 and 4,135,938

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Solution

The third proportional to 1,900,664 and 4,135,938 is: 9,000,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,664 : 4,135,938 = 4,135,938 : x
  2. Step 2: Convert to fraction form
    1,900,664/4,135,938 = 4,135,938/x
  3. Step 3: Cross multiply
    1,900,664x = 4,135,938 × 4,135,938
  4. Step 4: Simplify right side
    1,900,664x = 17,105,983,139,844
  5. Step 5: Solve for x
    x = 17,105,983,139,844/1,900,664
  6. Step 6: Final answer
    x = 9,000,003.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.