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Finding the Third Proportional to 697,420.50 and 1,066,137

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Solution

The third proportional to 697,420.50 and 1,066,137 is: 1,629,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,420.50 : 1,066,137 = 1,066,137 : x
  2. Step 2: Convert to fraction form
    697,420.50/1,066,137 = 1,066,137/x
  3. Step 3: Cross multiply
    697,420.50x = 1,066,137 × 1,066,137
  4. Step 4: Simplify right side
    697,420.50x = 1,136,648,102,769
  5. Step 5: Solve for x
    x = 1,136,648,102,769/697,420.50
  6. Step 6: Final answer
    x = 1,629,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.