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Finding the Third Proportional to 1,656,396.75 and 3,503,770.69

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Solution

The third proportional to 1,656,396.75 and 3,503,770.69 is: 7,411,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,396.75 : 3,503,770.69 = 3,503,770.69 : x
  2. Step 2: Convert to fraction form
    1,656,396.75/3,503,770.69 = 3,503,770.69/x
  3. Step 3: Cross multiply
    1,656,396.75x = 3,503,770.69 × 3,503,770.69
  4. Step 4: Simplify right side
    1,656,396.75x = 12,276,409,030,584.22
  5. Step 5: Solve for x
    x = 12,276,409,030,584.22/1,656,396.75
  6. Step 6: Final answer
    x = 7,411,514.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.