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Finding the Third Proportional to 2,075,832 and 4,492,840

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Solution

The third proportional to 2,075,832 and 4,492,840 is: 9,724,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,832 : 4,492,840 = 4,492,840 : x
  2. Step 2: Convert to fraction form
    2,075,832/4,492,840 = 4,492,840/x
  3. Step 3: Cross multiply
    2,075,832x = 4,492,840 × 4,492,840
  4. Step 4: Simplify right side
    2,075,832x = 20,185,611,265,600
  5. Step 5: Solve for x
    x = 20,185,611,265,600/2,075,832
  6. Step 6: Final answer
    x = 9,724,106.41

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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.