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Finding the Third Proportional to 1,843,135 and 2,884,991

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Solution

The third proportional to 1,843,135 and 2,884,991 is: 4,515,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,135 : 2,884,991 = 2,884,991 : x
  2. Step 2: Convert to fraction form
    1,843,135/2,884,991 = 2,884,991/x
  3. Step 3: Cross multiply
    1,843,135x = 2,884,991 × 2,884,991
  4. Step 4: Simplify right side
    1,843,135x = 8,323,173,070,081
  5. Step 5: Solve for x
    x = 8,323,173,070,081/1,843,135
  6. Step 6: Final answer
    x = 4,515,769.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.