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Finding the Third Proportional to 2,153,414 and 3,136,647

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Solution

The third proportional to 2,153,414 and 3,136,647 is: 4,568,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,414 : 3,136,647 = 3,136,647 : x
  2. Step 2: Convert to fraction form
    2,153,414/3,136,647 = 3,136,647/x
  3. Step 3: Cross multiply
    2,153,414x = 3,136,647 × 3,136,647
  4. Step 4: Simplify right side
    2,153,414x = 9,838,554,402,609
  5. Step 5: Solve for x
    x = 9,838,554,402,609/2,153,414
  6. Step 6: Final answer
    x = 4,568,816.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.