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Finding the Third Proportional to 401,715,956 and 870,469,124

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Solution

The third proportional to 401,715,956 and 870,469,124 is: 1,886,199,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715,956 : 870,469,124 = 870,469,124 : x
  2. Step 2: Convert to fraction form
    401,715,956/870,469,124 = 870,469,124/x
  3. Step 3: Cross multiply
    401,715,956x = 870,469,124 × 870,469,124
  4. Step 4: Simplify right side
    401,715,956x = 757,716,495,837,327,360
  5. Step 5: Solve for x
    x = 757,716,495,837,327,360/401,715,956
  6. Step 6: Final answer
    x = 1,886,199,650.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.