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Finding the Third Proportional to 697,372 and 1,489,946

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Solution

The third proportional to 697,372 and 1,489,946 is: 3,183,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,372 : 1,489,946 = 1,489,946 : x
  2. Step 2: Convert to fraction form
    697,372/1,489,946 = 1,489,946/x
  3. Step 3: Cross multiply
    697,372x = 1,489,946 × 1,489,946
  4. Step 4: Simplify right side
    697,372x = 2,219,939,082,916
  5. Step 5: Solve for x
    x = 2,219,939,082,916/697,372
  6. Step 6: Final answer
    x = 3,183,292.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.