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Finding the Third Proportional to 561,558 and 1,200,300

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Solution

The third proportional to 561,558 and 1,200,300 is: 2,565,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,558 : 1,200,300 = 1,200,300 : x
  2. Step 2: Convert to fraction form
    561,558/1,200,300 = 1,200,300/x
  3. Step 3: Cross multiply
    561,558x = 1,200,300 × 1,200,300
  4. Step 4: Simplify right side
    561,558x = 1,440,720,090,000
  5. Step 5: Solve for x
    x = 1,440,720,090,000/561,558
  6. Step 6: Final answer
    x = 2,565,576.65

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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.