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Finding the Third Proportional to 2,075,827 and 4,492,830

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Solution

The third proportional to 2,075,827 and 4,492,830 is: 9,724,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,827 : 4,492,830 = 4,492,830 : x
  2. Step 2: Convert to fraction form
    2,075,827/4,492,830 = 4,492,830/x
  3. Step 3: Cross multiply
    2,075,827x = 4,492,830 × 4,492,830
  4. Step 4: Simplify right side
    2,075,827x = 20,185,521,408,900
  5. Step 5: Solve for x
    x = 20,185,521,408,900/2,075,827
  6. Step 6: Final answer
    x = 9,724,086.55

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