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Finding the Third Proportional to 468,398 and 1,105,340

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Solution

The third proportional to 468,398 and 1,105,340 is: 2,608,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,398 : 1,105,340 = 1,105,340 : x
  2. Step 2: Convert to fraction form
    468,398/1,105,340 = 1,105,340/x
  3. Step 3: Cross multiply
    468,398x = 1,105,340 × 1,105,340
  4. Step 4: Simplify right side
    468,398x = 1,221,776,515,600
  5. Step 5: Solve for x
    x = 1,221,776,515,600/468,398
  6. Step 6: Final answer
    x = 2,608,415.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.