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Finding the Third Proportional to 409,010 and 955,265

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Solution

The third proportional to 409,010 and 955,265 is: 2,231,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,010 : 955,265 = 955,265 : x
  2. Step 2: Convert to fraction form
    409,010/955,265 = 955,265/x
  3. Step 3: Cross multiply
    409,010x = 955,265 × 955,265
  4. Step 4: Simplify right side
    409,010x = 912,531,220,225
  5. Step 5: Solve for x
    x = 912,531,220,225/409,010
  6. Step 6: Final answer
    x = 2,231,073.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.