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Finding the Third Proportional to 429,762,123 and 920,794,869

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Solution

The third proportional to 429,762,123 and 920,794,869 is: 1,972,866,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,762,123 : 920,794,869 = 920,794,869 : x
  2. Step 2: Convert to fraction form
    429,762,123/920,794,869 = 920,794,869/x
  3. Step 3: Cross multiply
    429,762,123x = 920,794,869 × 920,794,869
  4. Step 4: Simplify right side
    429,762,123x = 847,863,190,776,727,168
  5. Step 5: Solve for x
    x = 847,863,190,776,727,168/429,762,123
  6. Step 6: Final answer
    x = 1,972,866,256.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.