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Finding the Third Proportional to 654,574,218 and 1,454,431,062

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Solution

The third proportional to 654,574,218 and 1,454,431,062 is: 3,231,672,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,574,218 : 1,454,431,062 = 1,454,431,062 : x
  2. Step 2: Convert to fraction form
    654,574,218/1,454,431,062 = 1,454,431,062/x
  3. Step 3: Cross multiply
    654,574,218x = 1,454,431,062 × 1,454,431,062
  4. Step 4: Simplify right side
    654,574,218x = 2,115,369,714,110,447,872
  5. Step 5: Solve for x
    x = 2,115,369,714,110,447,872/654,574,218
  6. Step 6: Final answer
    x = 3,231,672,827.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.