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Finding the Third Proportional to 456,094,778 and 995,791,876

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Solution

The third proportional to 456,094,778 and 995,791,876 is: 2,174,112,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,094,778 : 995,791,876 = 995,791,876 : x
  2. Step 2: Convert to fraction form
    456,094,778/995,791,876 = 995,791,876/x
  3. Step 3: Cross multiply
    456,094,778x = 995,791,876 × 995,791,876
  4. Step 4: Simplify right side
    456,094,778x = 991,601,460,307,599,360
  5. Step 5: Solve for x
    x = 991,601,460,307,599,360/456,094,778
  6. Step 6: Final answer
    x = 2,174,112,724.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.