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Finding the Third Proportional to 2,421,136 and 3,746,544

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Solution

The third proportional to 2,421,136 and 3,746,544 is: 5,797,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,136 : 3,746,544 = 3,746,544 : x
  2. Step 2: Convert to fraction form
    2,421,136/3,746,544 = 3,746,544/x
  3. Step 3: Cross multiply
    2,421,136x = 3,746,544 × 3,746,544
  4. Step 4: Simplify right side
    2,421,136x = 14,036,591,943,936
  5. Step 5: Solve for x
    x = 14,036,591,943,936/2,421,136
  6. Step 6: Final answer
    x = 5,797,523.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.