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Finding the Third Proportional to 902,259,324 and 1,435,671,922.22

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Solution

The third proportional to 902,259,324 and 1,435,671,922.22 is: 2,284,436,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,259,324 : 1,435,671,922.22 = 1,435,671,922.22 : x
  2. Step 2: Convert to fraction form
    902,259,324/1,435,671,922.22 = 1,435,671,922.22/x
  3. Step 3: Cross multiply
    902,259,324x = 1,435,671,922.22 × 1,435,671,922.22
  4. Step 4: Simplify right side
    902,259,324x = 2,061,153,868,247,424,256
  5. Step 5: Solve for x
    x = 2,061,153,868,247,424,256/902,259,324
  6. Step 6: Final answer
    x = 2,284,436,207.44

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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.