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Finding the Third Proportional to 1,165,214.25 and 2,492,334

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Solution

The third proportional to 1,165,214.25 and 2,492,334 is: 5,330,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,214.25 : 2,492,334 = 2,492,334 : x
  2. Step 2: Convert to fraction form
    1,165,214.25/2,492,334 = 2,492,334/x
  3. Step 3: Cross multiply
    1,165,214.25x = 2,492,334 × 2,492,334
  4. Step 4: Simplify right side
    1,165,214.25x = 6,211,728,767,556
  5. Step 5: Solve for x
    x = 6,211,728,767,556/1,165,214.25
  6. Step 6: Final answer
    x = 5,330,975.63

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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.