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Finding the Third Proportional to 401,882,245 and 865,343,371

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Solution

The third proportional to 401,882,245 and 865,343,371 is: 1,863,280,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882,245 : 865,343,371 = 865,343,371 : x
  2. Step 2: Convert to fraction form
    401,882,245/865,343,371 = 865,343,371/x
  3. Step 3: Cross multiply
    401,882,245x = 865,343,371 × 865,343,371
  4. Step 4: Simplify right side
    401,882,245x = 748,819,149,733,643,648
  5. Step 5: Solve for x
    x = 748,819,149,733,643,648/401,882,245
  6. Step 6: Final answer
    x = 1,863,280,000.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.