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Finding the Third Proportional to 410,858,010 and 836,064,882

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Solution

The third proportional to 410,858,010 and 836,064,882 is: 1,701,328,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,858,010 : 836,064,882 = 836,064,882 : x
  2. Step 2: Convert to fraction form
    410,858,010/836,064,882 = 836,064,882/x
  3. Step 3: Cross multiply
    410,858,010x = 836,064,882 × 836,064,882
  4. Step 4: Simplify right side
    410,858,010x = 699,004,486,913,673,984
  5. Step 5: Solve for x
    x = 699,004,486,913,673,984/410,858,010
  6. Step 6: Final answer
    x = 1,701,328,609.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.