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Finding the Third Proportional to 4,259,904 and 6,434,208

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Solution

The third proportional to 4,259,904 and 6,434,208 is: 9,718,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,904 : 6,434,208 = 6,434,208 : x
  2. Step 2: Convert to fraction form
    4,259,904/6,434,208 = 6,434,208/x
  3. Step 3: Cross multiply
    4,259,904x = 6,434,208 × 6,434,208
  4. Step 4: Simplify right side
    4,259,904x = 41,399,032,587,264
  5. Step 5: Solve for x
    x = 41,399,032,587,264/4,259,904
  6. Step 6: Final answer
    x = 9,718,301.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.