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Finding the Third Proportional to 1,900,663 and 4,135,937

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Solution

The third proportional to 1,900,663 and 4,135,937 is: 9,000,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,663 : 4,135,937 = 4,135,937 : x
  2. Step 2: Convert to fraction form
    1,900,663/4,135,937 = 4,135,937/x
  3. Step 3: Cross multiply
    1,900,663x = 4,135,937 × 4,135,937
  4. Step 4: Simplify right side
    1,900,663x = 17,105,974,867,969
  5. Step 5: Solve for x
    x = 17,105,974,867,969/1,900,663
  6. Step 6: Final answer
    x = 9,000,004.14

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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.