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Finding the Third Proportional to 1,800,497 and 2,787,013

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Solution

The third proportional to 1,800,497 and 2,787,013 is: 4,314,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,497 : 2,787,013 = 2,787,013 : x
  2. Step 2: Convert to fraction form
    1,800,497/2,787,013 = 2,787,013/x
  3. Step 3: Cross multiply
    1,800,497x = 2,787,013 × 2,787,013
  4. Step 4: Simplify right side
    1,800,497x = 7,767,441,462,169
  5. Step 5: Solve for x
    x = 7,767,441,462,169/1,800,497
  6. Step 6: Final answer
    x = 4,314,054.10

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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.