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Finding the Third Proportional to 409,139 and 875,140

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Solution

The third proportional to 409,139 and 875,140 is: 1,871,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,139 : 875,140 = 875,140 : x
  2. Step 2: Convert to fraction form
    409,139/875,140 = 875,140/x
  3. Step 3: Cross multiply
    409,139x = 875,140 × 875,140
  4. Step 4: Simplify right side
    409,139x = 765,870,019,600
  5. Step 5: Solve for x
    x = 765,870,019,600/409,139
  6. Step 6: Final answer
    x = 1,871,906.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.