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Finding the Third Proportional to 579,658 and 1,236,354

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Solution

The third proportional to 579,658 and 1,236,354 is: 2,637,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,658 : 1,236,354 = 1,236,354 : x
  2. Step 2: Convert to fraction form
    579,658/1,236,354 = 1,236,354/x
  3. Step 3: Cross multiply
    579,658x = 1,236,354 × 1,236,354
  4. Step 4: Simplify right side
    579,658x = 1,528,571,213,316
  5. Step 5: Solve for x
    x = 1,528,571,213,316/579,658
  6. Step 6: Final answer
    x = 2,637,022.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.