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Finding the Third Proportional to 483,477 and 1,047,306

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Solution

The third proportional to 483,477 and 1,047,306 is: 2,268,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,477 : 1,047,306 = 1,047,306 : x
  2. Step 2: Convert to fraction form
    483,477/1,047,306 = 1,047,306/x
  3. Step 3: Cross multiply
    483,477x = 1,047,306 × 1,047,306
  4. Step 4: Simplify right side
    483,477x = 1,096,849,857,636
  5. Step 5: Solve for x
    x = 1,096,849,857,636/483,477
  6. Step 6: Final answer
    x = 2,268,670.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.