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Finding the Third Proportional to 407,719 and 921,142

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Solution

The third proportional to 407,719 and 921,142 is: 2,081,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,719 : 921,142 = 921,142 : x
  2. Step 2: Convert to fraction form
    407,719/921,142 = 921,142/x
  3. Step 3: Cross multiply
    407,719x = 921,142 × 921,142
  4. Step 4: Simplify right side
    407,719x = 848,502,584,164
  5. Step 5: Solve for x
    x = 848,502,584,164/407,719
  6. Step 6: Final answer
    x = 2,081,096.50

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.