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Finding the Third Proportional to 561,183 and 1,227,341

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Solution

The third proportional to 561,183 and 1,227,341 is: 2,684,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,183 : 1,227,341 = 1,227,341 : x
  2. Step 2: Convert to fraction form
    561,183/1,227,341 = 1,227,341/x
  3. Step 3: Cross multiply
    561,183x = 1,227,341 × 1,227,341
  4. Step 4: Simplify right side
    561,183x = 1,506,365,930,281
  5. Step 5: Solve for x
    x = 1,506,365,930,281/561,183
  6. Step 6: Final answer
    x = 2,684,268.64

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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.