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Finding the Third Proportional to 687,627 and 933,852

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Solution

The third proportional to 687,627 and 933,852 is: 1,268,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,627 : 933,852 = 933,852 : x
  2. Step 2: Convert to fraction form
    687,627/933,852 = 933,852/x
  3. Step 3: Cross multiply
    687,627x = 933,852 × 933,852
  4. Step 4: Simplify right side
    687,627x = 872,079,557,904
  5. Step 5: Solve for x
    x = 872,079,557,904/687,627
  6. Step 6: Final answer
    x = 1,268,245.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.