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Finding the Third Proportional to 630,174 and 968,623

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Solution

The third proportional to 630,174 and 968,623 is: 1,488,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,174 : 968,623 = 968,623 : x
  2. Step 2: Convert to fraction form
    630,174/968,623 = 968,623/x
  3. Step 3: Cross multiply
    630,174x = 968,623 × 968,623
  4. Step 4: Simplify right side
    630,174x = 938,230,516,129
  5. Step 5: Solve for x
    x = 938,230,516,129/630,174
  6. Step 6: Final answer
    x = 1,488,843.58

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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.