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Finding the Third Proportional to 399,213 and 887,013

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Solution

The third proportional to 399,213 and 887,013 is: 1,970,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,213 : 887,013 = 887,013 : x
  2. Step 2: Convert to fraction form
    399,213/887,013 = 887,013/x
  3. Step 3: Cross multiply
    399,213x = 887,013 × 887,013
  4. Step 4: Simplify right side
    399,213x = 786,792,062,169
  5. Step 5: Solve for x
    x = 786,792,062,169/399,213
  6. Step 6: Final answer
    x = 1,970,857.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.