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Finding the Third Proportional to 902,259,794.81 and 1,435,672,742.34

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Solution

The third proportional to 902,259,794.81 and 1,435,672,742.34 is: 2,284,437,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,259,794.81 : 1,435,672,742.34 = 1,435,672,742.34 : x
  2. Step 2: Convert to fraction form
    902,259,794.81/1,435,672,742.34 = 1,435,672,742.34/x
  3. Step 3: Cross multiply
    902,259,794.81x = 1,435,672,742.34 × 1,435,672,742.34
  4. Step 4: Simplify right side
    902,259,794.81x = 2,061,156,223,108,967,424
  5. Step 5: Solve for x
    x = 2,061,156,223,108,967,424/902,259,794.81
  6. Step 6: Final answer
    x = 2,284,437,625.35

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