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Finding the Third Proportional to 619,567 and 905,565

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Solution

The third proportional to 619,567 and 905,565 is: 1,323,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,567 : 905,565 = 905,565 : x
  2. Step 2: Convert to fraction form
    619,567/905,565 = 905,565/x
  3. Step 3: Cross multiply
    619,567x = 905,565 × 905,565
  4. Step 4: Simplify right side
    619,567x = 820,047,969,225
  5. Step 5: Solve for x
    x = 820,047,969,225/619,567
  6. Step 6: Final answer
    x = 1,323,582.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.