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Finding the Third Proportional to 666,420 and 949,770

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Solution

The third proportional to 666,420 and 949,770 is: 1,353,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,420 : 949,770 = 949,770 : x
  2. Step 2: Convert to fraction form
    666,420/949,770 = 949,770/x
  3. Step 3: Cross multiply
    666,420x = 949,770 × 949,770
  4. Step 4: Simplify right side
    666,420x = 902,063,052,900
  5. Step 5: Solve for x
    x = 902,063,052,900/666,420
  6. Step 6: Final answer
    x = 1,353,595.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.