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Finding the Third Proportional to 484,922 and 999,706

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Solution

The third proportional to 484,922 and 999,706 is: 2,060,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,922 : 999,706 = 999,706 : x
  2. Step 2: Convert to fraction form
    484,922/999,706 = 999,706/x
  3. Step 3: Cross multiply
    484,922x = 999,706 × 999,706
  4. Step 4: Simplify right side
    484,922x = 999,412,086,436
  5. Step 5: Solve for x
    x = 999,412,086,436/484,922
  6. Step 6: Final answer
    x = 2,060,974.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.