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Finding the Third Proportional to 954,561,544 and 1,472,701,006

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Solution

The third proportional to 954,561,544 and 1,472,701,006 is: 2,272,088,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,561,544 : 1,472,701,006 = 1,472,701,006 : x
  2. Step 2: Convert to fraction form
    954,561,544/1,472,701,006 = 1,472,701,006/x
  3. Step 3: Cross multiply
    954,561,544x = 1,472,701,006 × 1,472,701,006
  4. Step 4: Simplify right side
    954,561,544x = 2,168,848,253,073,412,096
  5. Step 5: Solve for x
    x = 2,168,848,253,073,412,096/954,561,544
  6. Step 6: Final answer
    x = 2,272,088,443.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.