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Finding the Third Proportional to 875,910 and 1,900,535

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Solution

The third proportional to 875,910 and 1,900,535 is: 4,123,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,910 : 1,900,535 = 1,900,535 : x
  2. Step 2: Convert to fraction form
    875,910/1,900,535 = 1,900,535/x
  3. Step 3: Cross multiply
    875,910x = 1,900,535 × 1,900,535
  4. Step 4: Simplify right side
    875,910x = 3,612,033,286,225
  5. Step 5: Solve for x
    x = 3,612,033,286,225/875,910
  6. Step 6: Final answer
    x = 4,123,749.34

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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.