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Finding the Third Proportional to 409,088 and 875,034

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Solution

The third proportional to 409,088 and 875,034 is: 1,871,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,088 : 875,034 = 875,034 : x
  2. Step 2: Convert to fraction form
    409,088/875,034 = 875,034/x
  3. Step 3: Cross multiply
    409,088x = 875,034 × 875,034
  4. Step 4: Simplify right side
    409,088x = 765,684,501,156
  5. Step 5: Solve for x
    x = 765,684,501,156/409,088
  6. Step 6: Final answer
    x = 1,871,686.53

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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.