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Finding the Third Proportional to 1,085,641 and 2,320,368

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Solution

The third proportional to 1,085,641 and 2,320,368 is: 4,959,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,641 : 2,320,368 = 2,320,368 : x
  2. Step 2: Convert to fraction form
    1,085,641/2,320,368 = 2,320,368/x
  3. Step 3: Cross multiply
    1,085,641x = 2,320,368 × 2,320,368
  4. Step 4: Simplify right side
    1,085,641x = 5,384,107,655,424
  5. Step 5: Solve for x
    x = 5,384,107,655,424/1,085,641
  6. Step 6: Final answer
    x = 4,959,381.28

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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.