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Finding the Third Proportional to 876,096 and 1,900,908

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Solution

The third proportional to 876,096 and 1,900,908 is: 4,124,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,096 : 1,900,908 = 1,900,908 : x
  2. Step 2: Convert to fraction form
    876,096/1,900,908 = 1,900,908/x
  3. Step 3: Cross multiply
    876,096x = 1,900,908 × 1,900,908
  4. Step 4: Simplify right side
    876,096x = 3,613,451,224,464
  5. Step 5: Solve for x
    x = 3,613,451,224,464/876,096
  6. Step 6: Final answer
    x = 4,124,492.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.