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Finding the Third Proportional to 429,900 and 911,010

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Solution

The third proportional to 429,900 and 911,010 is: 1,930,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,900 : 911,010 = 911,010 : x
  2. Step 2: Convert to fraction form
    429,900/911,010 = 911,010/x
  3. Step 3: Cross multiply
    429,900x = 911,010 × 911,010
  4. Step 4: Simplify right side
    429,900x = 829,939,220,100
  5. Step 5: Solve for x
    x = 829,939,220,100/429,900
  6. Step 6: Final answer
    x = 1,930,540.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.