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Finding the Third Proportional to 1,929,024 and 4,190,148

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Solution

The third proportional to 1,929,024 and 4,190,148 is: 9,101,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,024 : 4,190,148 = 4,190,148 : x
  2. Step 2: Convert to fraction form
    1,929,024/4,190,148 = 4,190,148/x
  3. Step 3: Cross multiply
    1,929,024x = 4,190,148 × 4,190,148
  4. Step 4: Simplify right side
    1,929,024x = 17,557,340,261,904
  5. Step 5: Solve for x
    x = 17,557,340,261,904/1,929,024
  6. Step 6: Final answer
    x = 9,101,670.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.