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Finding the Third Proportional to 718,497 and 999,013

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Solution

The third proportional to 718,497 and 999,013 is: 1,389,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,497 : 999,013 = 999,013 : x
  2. Step 2: Convert to fraction form
    718,497/999,013 = 999,013/x
  3. Step 3: Cross multiply
    718,497x = 999,013 × 999,013
  4. Step 4: Simplify right side
    718,497x = 998,026,974,169
  5. Step 5: Solve for x
    x = 998,026,974,169/718,497
  6. Step 6: Final answer
    x = 1,389,048.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.