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Finding the Third Proportional to 406,740 and 950,160

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Solution

The third proportional to 406,740 and 950,160 is: 2,219,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,740 : 950,160 = 950,160 : x
  2. Step 2: Convert to fraction form
    406,740/950,160 = 950,160/x
  3. Step 3: Cross multiply
    406,740x = 950,160 × 950,160
  4. Step 4: Simplify right side
    406,740x = 902,804,025,600
  5. Step 5: Solve for x
    x = 902,804,025,600/406,740
  6. Step 6: Final answer
    x = 2,219,609.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.