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Finding the Third Proportional to 561,992 and 1,223,740

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Solution

The third proportional to 561,992 and 1,223,740 is: 2,664,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,992 : 1,223,740 = 1,223,740 : x
  2. Step 2: Convert to fraction form
    561,992/1,223,740 = 1,223,740/x
  3. Step 3: Cross multiply
    561,992x = 1,223,740 × 1,223,740
  4. Step 4: Simplify right side
    561,992x = 1,497,539,587,600
  5. Step 5: Solve for x
    x = 1,497,539,587,600/561,992
  6. Step 6: Final answer
    x = 2,664,699.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.