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Finding the Third Proportional to 270,568,698 and 579,401,106

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Solution

The third proportional to 270,568,698 and 579,401,106 is: 1,240,740,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,698 : 579,401,106 = 579,401,106 : x
  2. Step 2: Convert to fraction form
    270,568,698/579,401,106 = 579,401,106/x
  3. Step 3: Cross multiply
    270,568,698x = 579,401,106 × 579,401,106
  4. Step 4: Simplify right side
    270,568,698x = 335,705,641,634,023,232
  5. Step 5: Solve for x
    x = 335,705,641,634,023,232/270,568,698
  6. Step 6: Final answer
    x = 1,240,740,869.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.