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Finding the Third Proportional to 666,324 and 949,646

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Solution

The third proportional to 666,324 and 949,646 is: 1,353,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,324 : 949,646 = 949,646 : x
  2. Step 2: Convert to fraction form
    666,324/949,646 = 949,646/x
  3. Step 3: Cross multiply
    666,324x = 949,646 × 949,646
  4. Step 4: Simplify right side
    666,324x = 901,827,525,316
  5. Step 5: Solve for x
    x = 901,827,525,316/666,324
  6. Step 6: Final answer
    x = 1,353,436.95

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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.