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Finding the Third Proportional to 1,941,804 and 4,222,399.50

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Solution

The third proportional to 1,941,804 and 4,222,399.50 is: 9,181,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,804 : 4,222,399.50 = 4,222,399.50 : x
  2. Step 2: Convert to fraction form
    1,941,804/4,222,399.50 = 4,222,399.50/x
  3. Step 3: Cross multiply
    1,941,804x = 4,222,399.50 × 4,222,399.50
  4. Step 4: Simplify right side
    1,941,804x = 17,828,657,537,600.25
  5. Step 5: Solve for x
    x = 17,828,657,537,600.25/1,941,804
  6. Step 6: Final answer
    x = 9,181,491.82

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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.