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Finding the Third Proportional to 671,952 and 968,184

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Solution

The third proportional to 671,952 and 968,184 is: 1,395,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,952 : 968,184 = 968,184 : x
  2. Step 2: Convert to fraction form
    671,952/968,184 = 968,184/x
  3. Step 3: Cross multiply
    671,952x = 968,184 × 968,184
  4. Step 4: Simplify right side
    671,952x = 937,380,257,856
  5. Step 5: Solve for x
    x = 937,380,257,856/671,952
  6. Step 6: Final answer
    x = 1,395,010.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.