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Finding the Third Proportional to 434,956 and 882,206

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Solution

The third proportional to 434,956 and 882,206 is: 1,789,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,956 : 882,206 = 882,206 : x
  2. Step 2: Convert to fraction form
    434,956/882,206 = 882,206/x
  3. Step 3: Cross multiply
    434,956x = 882,206 × 882,206
  4. Step 4: Simplify right side
    434,956x = 778,287,426,436
  5. Step 5: Solve for x
    x = 778,287,426,436/434,956
  6. Step 6: Final answer
    x = 1,789,347.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.