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Finding the Third Proportional to 406,960 and 851,094

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Solution

The third proportional to 406,960 and 851,094 is: 1,779,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,960 : 851,094 = 851,094 : x
  2. Step 2: Convert to fraction form
    406,960/851,094 = 851,094/x
  3. Step 3: Cross multiply
    406,960x = 851,094 × 851,094
  4. Step 4: Simplify right side
    406,960x = 724,360,996,836
  5. Step 5: Solve for x
    x = 724,360,996,836/406,960
  6. Step 6: Final answer
    x = 1,779,931.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.