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Finding the Third Proportional to 644,836 and 996,897

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Solution

The third proportional to 644,836 and 996,897 is: 1,541,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,836 : 996,897 = 996,897 : x
  2. Step 2: Convert to fraction form
    644,836/996,897 = 996,897/x
  3. Step 3: Cross multiply
    644,836x = 996,897 × 996,897
  4. Step 4: Simplify right side
    644,836x = 993,803,628,609
  5. Step 5: Solve for x
    x = 993,803,628,609/644,836
  6. Step 6: Final answer
    x = 1,541,172.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.