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Finding the Third Proportional to 429,142,878 and 926,890,839

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Solution

The third proportional to 429,142,878 and 926,890,839 is: 2,001,959,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,142,878 : 926,890,839 = 926,890,839 : x
  2. Step 2: Convert to fraction form
    429,142,878/926,890,839 = 926,890,839/x
  3. Step 3: Cross multiply
    429,142,878x = 926,890,839 × 926,890,839
  4. Step 4: Simplify right side
    429,142,878x = 859,126,627,422,123,904
  5. Step 5: Solve for x
    x = 859,126,627,422,123,904/429,142,878
  6. Step 6: Final answer
    x = 2,001,959,420.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.