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Finding the Third Proportional to 1,009,804 and 2,161,450

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Solution

The third proportional to 1,009,804 and 2,161,450 is: 4,626,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,804 : 2,161,450 = 2,161,450 : x
  2. Step 2: Convert to fraction form
    1,009,804/2,161,450 = 2,161,450/x
  3. Step 3: Cross multiply
    1,009,804x = 2,161,450 × 2,161,450
  4. Step 4: Simplify right side
    1,009,804x = 4,671,866,102,500
  5. Step 5: Solve for x
    x = 4,671,866,102,500/1,009,804
  6. Step 6: Final answer
    x = 4,626,507.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.