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Finding the Third Proportional to 2,411,026 and 3,647,534

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Solution

The third proportional to 2,411,026 and 3,647,534 is: 5,518,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,026 : 3,647,534 = 3,647,534 : x
  2. Step 2: Convert to fraction form
    2,411,026/3,647,534 = 3,647,534/x
  3. Step 3: Cross multiply
    2,411,026x = 3,647,534 × 3,647,534
  4. Step 4: Simplify right side
    2,411,026x = 13,304,504,281,156
  5. Step 5: Solve for x
    x = 13,304,504,281,156/2,411,026
  6. Step 6: Final answer
    x = 5,518,191.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.