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Finding the Third Proportional to 1,084,023 and 2,290,140

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Solution

The third proportional to 1,084,023 and 2,290,140 is: 4,838,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,023 : 2,290,140 = 2,290,140 : x
  2. Step 2: Convert to fraction form
    1,084,023/2,290,140 = 2,290,140/x
  3. Step 3: Cross multiply
    1,084,023x = 2,290,140 × 2,290,140
  4. Step 4: Simplify right side
    1,084,023x = 5,244,741,219,600
  5. Step 5: Solve for x
    x = 5,244,741,219,600/1,084,023
  6. Step 6: Final answer
    x = 4,838,219.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.