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Finding the Third Proportional to 666,416 and 949,764

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Solution

The third proportional to 666,416 and 949,764 is: 1,353,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,416 : 949,764 = 949,764 : x
  2. Step 2: Convert to fraction form
    666,416/949,764 = 949,764/x
  3. Step 3: Cross multiply
    666,416x = 949,764 × 949,764
  4. Step 4: Simplify right side
    666,416x = 902,051,655,696
  5. Step 5: Solve for x
    x = 902,051,655,696/666,416
  6. Step 6: Final answer
    x = 1,353,586.43

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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.