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Finding the Third Proportional to 3,426,211 and 4,820,590.50

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Solution

The third proportional to 3,426,211 and 4,820,590.50 is: 6,782,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426,211 : 4,820,590.50 = 4,820,590.50 : x
  2. Step 2: Convert to fraction form
    3,426,211/4,820,590.50 = 4,820,590.50/x
  3. Step 3: Cross multiply
    3,426,211x = 4,820,590.50 × 4,820,590.50
  4. Step 4: Simplify right side
    3,426,211x = 23,238,092,768,690.25
  5. Step 5: Solve for x
    x = 23,238,092,768,690.25/3,426,211
  6. Step 6: Final answer
    x = 6,782,446.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.