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Finding the Third Proportional to 434,074 and 901,412

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Solution

The third proportional to 434,074 and 901,412 is: 1,871,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,074 : 901,412 = 901,412 : x
  2. Step 2: Convert to fraction form
    434,074/901,412 = 901,412/x
  3. Step 3: Cross multiply
    434,074x = 901,412 × 901,412
  4. Step 4: Simplify right side
    434,074x = 812,543,593,744
  5. Step 5: Solve for x
    x = 812,543,593,744/434,074
  6. Step 6: Final answer
    x = 1,871,901.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.