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Finding the Third Proportional to 902,259,330 and 1,435,671,933

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Solution

The third proportional to 902,259,330 and 1,435,671,933 is: 2,284,436,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,259,330 : 1,435,671,933 = 1,435,671,933 : x
  2. Step 2: Convert to fraction form
    902,259,330/1,435,671,933 = 1,435,671,933/x
  3. Step 3: Cross multiply
    902,259,330x = 1,435,671,933 × 1,435,671,933
  4. Step 4: Simplify right side
    902,259,330x = 2,061,153,899,203,956,480
  5. Step 5: Solve for x
    x = 2,061,153,899,203,956,480/902,259,330
  6. Step 6: Final answer
    x = 2,284,436,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.