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Finding the Third Proportional to 434,070 and 901,404

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Solution

The third proportional to 434,070 and 901,404 is: 1,871,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,070 : 901,404 = 901,404 : x
  2. Step 2: Convert to fraction form
    434,070/901,404 = 901,404/x
  3. Step 3: Cross multiply
    434,070x = 901,404 × 901,404
  4. Step 4: Simplify right side
    434,070x = 812,529,171,216
  5. Step 5: Solve for x
    x = 812,529,171,216/434,070
  6. Step 6: Final answer
    x = 1,871,885.11

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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.