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Finding the Third Proportional to 876,036 and 968,196

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Solution

The third proportional to 876,036 and 968,196 is: 1,070,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,036 : 968,196 = 968,196 : x
  2. Step 2: Convert to fraction form
    876,036/968,196 = 968,196/x
  3. Step 3: Cross multiply
    876,036x = 968,196 × 968,196
  4. Step 4: Simplify right side
    876,036x = 937,403,494,416
  5. Step 5: Solve for x
    x = 937,403,494,416/876,036
  6. Step 6: Final answer
    x = 1,070,051.34

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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.