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Finding the Third Proportional to 1,683,015 and 3,651,364.50

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Solution

The third proportional to 1,683,015 and 3,651,364.50 is: 7,921,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,015 : 3,651,364.50 = 3,651,364.50 : x
  2. Step 2: Convert to fraction form
    1,683,015/3,651,364.50 = 3,651,364.50/x
  3. Step 3: Cross multiply
    1,683,015x = 3,651,364.50 × 3,651,364.50
  4. Step 4: Simplify right side
    1,683,015x = 13,332,462,711,860.25
  5. Step 5: Solve for x
    x = 13,332,462,711,860.25/1,683,015
  6. Step 6: Final answer
    x = 7,921,772.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.