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Finding the Third Proportional to 637,224 and 977,949

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Solution

The third proportional to 637,224 and 977,949 is: 1,500,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,224 : 977,949 = 977,949 : x
  2. Step 2: Convert to fraction form
    637,224/977,949 = 977,949/x
  3. Step 3: Cross multiply
    637,224x = 977,949 × 977,949
  4. Step 4: Simplify right side
    637,224x = 956,384,246,601
  5. Step 5: Solve for x
    x = 956,384,246,601/637,224
  6. Step 6: Final answer
    x = 1,500,860.37

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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.