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Finding the Third Proportional to 630,180 and 968,632

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Solution

The third proportional to 630,180 and 968,632 is: 1,488,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,180 : 968,632 = 968,632 : x
  2. Step 2: Convert to fraction form
    630,180/968,632 = 968,632/x
  3. Step 3: Cross multiply
    630,180x = 968,632 × 968,632
  4. Step 4: Simplify right side
    630,180x = 938,247,951,424
  5. Step 5: Solve for x
    x = 938,247,951,424/630,180
  6. Step 6: Final answer
    x = 1,488,857.07

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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.