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Finding the Third Proportional to 585,184 and 1,259,168

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Solution

The third proportional to 585,184 and 1,259,168 is: 2,709,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,184 : 1,259,168 = 1,259,168 : x
  2. Step 2: Convert to fraction form
    585,184/1,259,168 = 1,259,168/x
  3. Step 3: Cross multiply
    585,184x = 1,259,168 × 1,259,168
  4. Step 4: Simplify right side
    585,184x = 1,585,504,052,224
  5. Step 5: Solve for x
    x = 1,585,504,052,224/585,184
  6. Step 6: Final answer
    x = 2,709,411.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.