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Finding the Third Proportional to 579,610 and 1,262,312

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Solution

The third proportional to 579,610 and 1,262,312 is: 2,749,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,610 : 1,262,312 = 1,262,312 : x
  2. Step 2: Convert to fraction form
    579,610/1,262,312 = 1,262,312/x
  3. Step 3: Cross multiply
    579,610x = 1,262,312 × 1,262,312
  4. Step 4: Simplify right side
    579,610x = 1,593,431,585,344
  5. Step 5: Solve for x
    x = 1,593,431,585,344/579,610
  6. Step 6: Final answer
    x = 2,749,144.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.