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Finding the Third Proportional to 2,036,220.75 and 2,992,002

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Solution

The third proportional to 2,036,220.75 and 2,992,002 is: 4,396,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,220.75 : 2,992,002 = 2,992,002 : x
  2. Step 2: Convert to fraction form
    2,036,220.75/2,992,002 = 2,992,002/x
  3. Step 3: Cross multiply
    2,036,220.75x = 2,992,002 × 2,992,002
  4. Step 4: Simplify right side
    2,036,220.75x = 8,952,075,968,004
  5. Step 5: Solve for x
    x = 8,952,075,968,004/2,036,220.75
  6. Step 6: Final answer
    x = 4,396,417.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.