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Finding the Third Proportional to 1,832,256 and 2,693,646

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Solution

The third proportional to 1,832,256 and 2,693,646 is: 3,959,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,256 : 2,693,646 = 2,693,646 : x
  2. Step 2: Convert to fraction form
    1,832,256/2,693,646 = 2,693,646/x
  3. Step 3: Cross multiply
    1,832,256x = 2,693,646 × 2,693,646
  4. Step 4: Simplify right side
    1,832,256x = 7,255,728,773,316
  5. Step 5: Solve for x
    x = 7,255,728,773,316/1,832,256
  6. Step 6: Final answer
    x = 3,959,997.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.