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Finding the Third Proportional to 630,174 and 968,622

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Solution

The third proportional to 630,174 and 968,622 is: 1,488,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,174 : 968,622 = 968,622 : x
  2. Step 2: Convert to fraction form
    630,174/968,622 = 968,622/x
  3. Step 3: Cross multiply
    630,174x = 968,622 × 968,622
  4. Step 4: Simplify right side
    630,174x = 938,228,578,884
  5. Step 5: Solve for x
    x = 938,228,578,884/630,174
  6. Step 6: Final answer
    x = 1,488,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.