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Finding the Third Proportional to 496,453 and 1,071,620

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Solution

The third proportional to 496,453 and 1,071,620 is: 2,313,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,453 : 1,071,620 = 1,071,620 : x
  2. Step 2: Convert to fraction form
    496,453/1,071,620 = 1,071,620/x
  3. Step 3: Cross multiply
    496,453x = 1,071,620 × 1,071,620
  4. Step 4: Simplify right side
    496,453x = 1,148,369,424,400
  5. Step 5: Solve for x
    x = 1,148,369,424,400/496,453
  6. Step 6: Final answer
    x = 2,313,148.32

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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.