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Finding the Third Proportional to 568,153 and 1,243,196

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Solution

The third proportional to 568,153 and 1,243,196 is: 2,720,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,153 : 1,243,196 = 1,243,196 : x
  2. Step 2: Convert to fraction form
    568,153/1,243,196 = 1,243,196/x
  3. Step 3: Cross multiply
    568,153x = 1,243,196 × 1,243,196
  4. Step 4: Simplify right side
    568,153x = 1,545,536,294,416
  5. Step 5: Solve for x
    x = 1,545,536,294,416/568,153
  6. Step 6: Final answer
    x = 2,720,281.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.