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Finding the Third Proportional to 434,097 and 901,458

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Solution

The third proportional to 434,097 and 901,458 is: 1,871,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,097 : 901,458 = 901,458 : x
  2. Step 2: Convert to fraction form
    434,097/901,458 = 901,458/x
  3. Step 3: Cross multiply
    434,097x = 901,458 × 901,458
  4. Step 4: Simplify right side
    434,097x = 812,626,525,764
  5. Step 5: Solve for x
    x = 812,626,525,764/434,097
  6. Step 6: Final answer
    x = 1,871,992.95

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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.