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Finding the Third Proportional to 645,988,135 and 1,417,040,965

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Solution

The third proportional to 645,988,135 and 1,417,040,965 is: 3,108,424,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988,135 : 1,417,040,965 = 1,417,040,965 : x
  2. Step 2: Convert to fraction form
    645,988,135/1,417,040,965 = 1,417,040,965/x
  3. Step 3: Cross multiply
    645,988,135x = 1,417,040,965 × 1,417,040,965
  4. Step 4: Simplify right side
    645,988,135x = 2,008,005,096,488,131,328
  5. Step 5: Solve for x
    x = 2,008,005,096,488,131,328/645,988,135
  6. Step 6: Final answer
    x = 3,108,424,114.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.