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Finding the Third Proportional to 695,196 and 931,122

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Solution

The third proportional to 695,196 and 931,122 is: 1,247,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,196 : 931,122 = 931,122 : x
  2. Step 2: Convert to fraction form
    695,196/931,122 = 931,122/x
  3. Step 3: Cross multiply
    695,196x = 931,122 × 931,122
  4. Step 4: Simplify right side
    695,196x = 866,988,178,884
  5. Step 5: Solve for x
    x = 866,988,178,884/695,196
  6. Step 6: Final answer
    x = 1,247,113.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.