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Finding the Third Proportional to 1,388,653.88 and 2,164,173.19

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Solution

The third proportional to 1,388,653.88 and 2,164,173.19 is: 3,372,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,653.88 : 2,164,173.19 = 2,164,173.19 : x
  2. Step 2: Convert to fraction form
    1,388,653.88/2,164,173.19 = 2,164,173.19/x
  3. Step 3: Cross multiply
    1,388,653.88x = 2,164,173.19 × 2,164,173.19
  4. Step 4: Simplify right side
    1,388,653.88x = 4,683,645,585,493.91
  5. Step 5: Solve for x
    x = 4,683,645,585,493.91/1,388,653.88
  6. Step 6: Final answer
    x = 3,372,795.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.