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Finding the Third Proportional to 1,048,398 and 2,464,323

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Solution

The third proportional to 1,048,398 and 2,464,323 is: 5,792,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,398 : 2,464,323 = 2,464,323 : x
  2. Step 2: Convert to fraction form
    1,048,398/2,464,323 = 2,464,323/x
  3. Step 3: Cross multiply
    1,048,398x = 2,464,323 × 2,464,323
  4. Step 4: Simplify right side
    1,048,398x = 6,072,887,848,329
  5. Step 5: Solve for x
    x = 6,072,887,848,329/1,048,398
  6. Step 6: Final answer
    x = 5,792,540.47

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.