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Finding the Third Proportional to 1,051,094 and 2,305,659

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Solution

The third proportional to 1,051,094 and 2,305,659 is: 5,057,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,094 : 2,305,659 = 2,305,659 : x
  2. Step 2: Convert to fraction form
    1,051,094/2,305,659 = 2,305,659/x
  3. Step 3: Cross multiply
    1,051,094x = 2,305,659 × 2,305,659
  4. Step 4: Simplify right side
    1,051,094x = 5,316,063,424,281
  5. Step 5: Solve for x
    x = 5,316,063,424,281/1,051,094
  6. Step 6: Final answer
    x = 5,057,647.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.