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Finding the Third Proportional to 640,902 and 1,483,647

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Solution

The third proportional to 640,902 and 1,483,647 is: 3,434,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,902 : 1,483,647 = 1,483,647 : x
  2. Step 2: Convert to fraction form
    640,902/1,483,647 = 1,483,647/x
  3. Step 3: Cross multiply
    640,902x = 1,483,647 × 1,483,647
  4. Step 4: Simplify right side
    640,902x = 2,201,208,420,609
  5. Step 5: Solve for x
    x = 2,201,208,420,609/640,902
  6. Step 6: Final answer
    x = 3,434,547.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.