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Finding the Third Proportional to 631,908 and 954,666

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Solution

The third proportional to 631,908 and 954,666 is: 1,442,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,908 : 954,666 = 954,666 : x
  2. Step 2: Convert to fraction form
    631,908/954,666 = 954,666/x
  3. Step 3: Cross multiply
    631,908x = 954,666 × 954,666
  4. Step 4: Simplify right side
    631,908x = 911,387,171,556
  5. Step 5: Solve for x
    x = 911,387,171,556/631,908
  6. Step 6: Final answer
    x = 1,442,278.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.