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Finding the Third Proportional to 2,099,754 and 3,342,703.50

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Solution

The third proportional to 2,099,754 and 3,342,703.50 is: 5,321,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,754 : 3,342,703.50 = 3,342,703.50 : x
  2. Step 2: Convert to fraction form
    2,099,754/3,342,703.50 = 3,342,703.50/x
  3. Step 3: Cross multiply
    2,099,754x = 3,342,703.50 × 3,342,703.50
  4. Step 4: Simplify right side
    2,099,754x = 11,173,666,688,912.25
  5. Step 5: Solve for x
    x = 11,173,666,688,912.25/2,099,754
  6. Step 6: Final answer
    x = 5,321,417.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.