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Finding the Third Proportional to 429,878 and 1,011,137

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Solution

The third proportional to 429,878 and 1,011,137 is: 2,378,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,878 : 1,011,137 = 1,011,137 : x
  2. Step 2: Convert to fraction form
    429,878/1,011,137 = 1,011,137/x
  3. Step 3: Cross multiply
    429,878x = 1,011,137 × 1,011,137
  4. Step 4: Simplify right side
    429,878x = 1,022,398,032,769
  5. Step 5: Solve for x
    x = 1,022,398,032,769/429,878
  6. Step 6: Final answer
    x = 2,378,344.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.