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Finding the Third Proportional to 414,603,286 and 907,309,100

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Solution

The third proportional to 414,603,286 and 907,309,100 is: 1,985,536,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,603,286 : 907,309,100 = 907,309,100 : x
  2. Step 2: Convert to fraction form
    414,603,286/907,309,100 = 907,309,100/x
  3. Step 3: Cross multiply
    414,603,286x = 907,309,100 × 907,309,100
  4. Step 4: Simplify right side
    414,603,286x = 823,209,802,942,809,984
  5. Step 5: Solve for x
    x = 823,209,802,942,809,984/414,603,286
  6. Step 6: Final answer
    x = 1,985,536,127.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.