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Finding the Third Proportional to 504,998 and 1,080,932

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Solution

The third proportional to 504,998 and 1,080,932 is: 2,313,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,998 : 1,080,932 = 1,080,932 : x
  2. Step 2: Convert to fraction form
    504,998/1,080,932 = 1,080,932/x
  3. Step 3: Cross multiply
    504,998x = 1,080,932 × 1,080,932
  4. Step 4: Simplify right side
    504,998x = 1,168,413,988,624
  5. Step 5: Solve for x
    x = 1,168,413,988,624/504,998
  6. Step 6: Final answer
    x = 2,313,700.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.