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Finding the Third Proportional to 262,097,234 and 568,746,919

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Solution

The third proportional to 262,097,234 and 568,746,919 is: 1,234,171,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,097,234 : 568,746,919 = 568,746,919 : x
  2. Step 2: Convert to fraction form
    262,097,234/568,746,919 = 568,746,919/x
  3. Step 3: Cross multiply
    262,097,234x = 568,746,919 × 568,746,919
  4. Step 4: Simplify right side
    262,097,234x = 323,473,057,871,992,576
  5. Step 5: Solve for x
    x = 323,473,057,871,992,576/262,097,234
  6. Step 6: Final answer
    x = 1,234,171,963.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.