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Finding the Third Proportional to 429,880 and 1,011,142

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Solution

The third proportional to 429,880 and 1,011,142 is: 2,378,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,880 : 1,011,142 = 1,011,142 : x
  2. Step 2: Convert to fraction form
    429,880/1,011,142 = 1,011,142/x
  3. Step 3: Cross multiply
    429,880x = 1,011,142 × 1,011,142
  4. Step 4: Simplify right side
    429,880x = 1,022,408,144,164
  5. Step 5: Solve for x
    x = 1,022,408,144,164/429,880
  6. Step 6: Final answer
    x = 2,378,357.09

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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.