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Finding the Third Proportional to 572,634 and 1,293,741

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Solution

The third proportional to 572,634 and 1,293,741 is: 2,922,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,634 : 1,293,741 = 1,293,741 : x
  2. Step 2: Convert to fraction form
    572,634/1,293,741 = 1,293,741/x
  3. Step 3: Cross multiply
    572,634x = 1,293,741 × 1,293,741
  4. Step 4: Simplify right side
    572,634x = 1,673,765,775,081
  5. Step 5: Solve for x
    x = 1,673,765,775,081/572,634
  6. Step 6: Final answer
    x = 2,922,924.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.