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Finding the Third Proportional to 434,240 and 942,740

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Solution

The third proportional to 434,240 and 942,740 is: 2,046,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,240 : 942,740 = 942,740 : x
  2. Step 2: Convert to fraction form
    434,240/942,740 = 942,740/x
  3. Step 3: Cross multiply
    434,240x = 942,740 × 942,740
  4. Step 4: Simplify right side
    434,240x = 888,758,707,600
  5. Step 5: Solve for x
    x = 888,758,707,600/434,240
  6. Step 6: Final answer
    x = 2,046,699.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.