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Finding the Third Proportional to 490,389.19 and 1,075,411.69

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Solution

The third proportional to 490,389.19 and 1,075,411.69 is: 2,358,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,389.19 : 1,075,411.69 = 1,075,411.69 : x
  2. Step 2: Convert to fraction form
    490,389.19/1,075,411.69 = 1,075,411.69/x
  3. Step 3: Cross multiply
    490,389.19x = 1,075,411.69 × 1,075,411.69
  4. Step 4: Simplify right side
    490,389.19x = 1,156,510,297,611.60
  5. Step 5: Solve for x
    x = 1,156,510,297,611.60/490,389.19
  6. Step 6: Final answer
    x = 2,358,351.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.