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Finding the Third Proportional to 2,075,826 and 4,492,828

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Solution

The third proportional to 2,075,826 and 4,492,828 is: 9,724,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,826 : 4,492,828 = 4,492,828 : x
  2. Step 2: Convert to fraction form
    2,075,826/4,492,828 = 4,492,828/x
  3. Step 3: Cross multiply
    2,075,826x = 4,492,828 × 4,492,828
  4. Step 4: Simplify right side
    2,075,826x = 20,185,503,437,584
  5. Step 5: Solve for x
    x = 20,185,503,437,584/2,075,826
  6. Step 6: Final answer
    x = 9,724,082.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.