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Finding the Third Proportional to 666,499 and 952,426

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Solution

The third proportional to 666,499 and 952,426 is: 1,361,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,499 : 952,426 = 952,426 : x
  2. Step 2: Convert to fraction form
    666,499/952,426 = 952,426/x
  3. Step 3: Cross multiply
    666,499x = 952,426 × 952,426
  4. Step 4: Simplify right side
    666,499x = 907,115,285,476
  5. Step 5: Solve for x
    x = 907,115,285,476/666,499
  6. Step 6: Final answer
    x = 1,361,015.22

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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.