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Finding the Third Proportional to 490,915 and 1,075,520

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Solution

The third proportional to 490,915 and 1,075,520 is: 2,356,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,915 : 1,075,520 = 1,075,520 : x
  2. Step 2: Convert to fraction form
    490,915/1,075,520 = 1,075,520/x
  3. Step 3: Cross multiply
    490,915x = 1,075,520 × 1,075,520
  4. Step 4: Simplify right side
    490,915x = 1,156,743,270,400
  5. Step 5: Solve for x
    x = 1,156,743,270,400/490,915
  6. Step 6: Final answer
    x = 2,356,300.52

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