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Finding the Third Proportional to 585,168 and 1,257,633

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Solution

The third proportional to 585,168 and 1,257,633 is: 2,702,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,168 : 1,257,633 = 1,257,633 : x
  2. Step 2: Convert to fraction form
    585,168/1,257,633 = 1,257,633/x
  3. Step 3: Cross multiply
    585,168x = 1,257,633 × 1,257,633
  4. Step 4: Simplify right side
    585,168x = 1,581,640,762,689
  5. Step 5: Solve for x
    x = 1,581,640,762,689/585,168
  6. Step 6: Final answer
    x = 2,702,883.21

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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.