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Finding the Third Proportional to 3,101,874 and 4,656,111

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Solution

The third proportional to 3,101,874 and 4,656,111 is: 6,989,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,874 : 4,656,111 = 4,656,111 : x
  2. Step 2: Convert to fraction form
    3,101,874/4,656,111 = 4,656,111/x
  3. Step 3: Cross multiply
    3,101,874x = 4,656,111 × 4,656,111
  4. Step 4: Simplify right side
    3,101,874x = 21,679,369,644,321
  5. Step 5: Solve for x
    x = 21,679,369,644,321/3,101,874
  6. Step 6: Final answer
    x = 6,989,120.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.