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Finding the Third Proportional to 875,982 and 968,142

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Solution

The third proportional to 875,982 and 968,142 is: 1,069,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,982 : 968,142 = 968,142 : x
  2. Step 2: Convert to fraction form
    875,982/968,142 = 968,142/x
  3. Step 3: Cross multiply
    875,982x = 968,142 × 968,142
  4. Step 4: Simplify right side
    875,982x = 937,298,932,164
  5. Step 5: Solve for x
    x = 937,298,932,164/875,982
  6. Step 6: Final answer
    x = 1,069,997.94

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.