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Finding the Third Proportional to 2,138,024 and 4,610,236

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Solution

The third proportional to 2,138,024 and 4,610,236 is: 9,941,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,024 : 4,610,236 = 4,610,236 : x
  2. Step 2: Convert to fraction form
    2,138,024/4,610,236 = 4,610,236/x
  3. Step 3: Cross multiply
    2,138,024x = 4,610,236 × 4,610,236
  4. Step 4: Simplify right side
    2,138,024x = 21,254,275,975,696
  5. Step 5: Solve for x
    x = 21,254,275,975,696/2,138,024
  6. Step 6: Final answer
    x = 9,941,083.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.