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Finding the Third Proportional to 585,237 and 1,257,774

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Solution

The third proportional to 585,237 and 1,257,774 is: 2,703,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,237 : 1,257,774 = 1,257,774 : x
  2. Step 2: Convert to fraction form
    585,237/1,257,774 = 1,257,774/x
  3. Step 3: Cross multiply
    585,237x = 1,257,774 × 1,257,774
  4. Step 4: Simplify right side
    585,237x = 1,581,995,435,076
  5. Step 5: Solve for x
    x = 1,581,995,435,076/585,237
  6. Step 6: Final answer
    x = 2,703,170.57

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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.