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Finding the Third Proportional to 666,423 and 952,313

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Solution

The third proportional to 666,423 and 952,313 is: 1,360,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,423 : 952,313 = 952,313 : x
  2. Step 2: Convert to fraction form
    666,423/952,313 = 952,313/x
  3. Step 3: Cross multiply
    666,423x = 952,313 × 952,313
  4. Step 4: Simplify right side
    666,423x = 906,900,049,969
  5. Step 5: Solve for x
    x = 906,900,049,969/666,423
  6. Step 6: Final answer
    x = 1,360,847.46

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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.