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Finding the Third Proportional to 505,282 and 1,080,574

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Solution

The third proportional to 505,282 and 1,080,574 is: 2,310,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,282 : 1,080,574 = 1,080,574 : x
  2. Step 2: Convert to fraction form
    505,282/1,080,574 = 1,080,574/x
  3. Step 3: Cross multiply
    505,282x = 1,080,574 × 1,080,574
  4. Step 4: Simplify right side
    505,282x = 1,167,640,169,476
  5. Step 5: Solve for x
    x = 1,167,640,169,476/505,282
  6. Step 6: Final answer
    x = 2,310,868.33

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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.