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Finding the Third Proportional to 422,649,720 and 920,332,248

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Solution

The third proportional to 422,649,720 and 920,332,248 is: 2,004,050,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,649,720 : 920,332,248 = 920,332,248 : x
  2. Step 2: Convert to fraction form
    422,649,720/920,332,248 = 920,332,248/x
  3. Step 3: Cross multiply
    422,649,720x = 920,332,248 × 920,332,248
  4. Step 4: Simplify right side
    422,649,720x = 847,011,446,708,733,440
  5. Step 5: Solve for x
    x = 847,011,446,708,733,440/422,649,720
  6. Step 6: Final answer
    x = 2,004,050,651.47

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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.