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Finding the Third Proportional to 630,180 and 968,634

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Solution

The third proportional to 630,180 and 968,634 is: 1,488,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,180 : 968,634 = 968,634 : x
  2. Step 2: Convert to fraction form
    630,180/968,634 = 968,634/x
  3. Step 3: Cross multiply
    630,180x = 968,634 × 968,634
  4. Step 4: Simplify right side
    630,180x = 938,251,825,956
  5. Step 5: Solve for x
    x = 938,251,825,956/630,180
  6. Step 6: Final answer
    x = 1,488,863.22

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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.