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Finding the Third Proportional to 483,471 and 1,047,294

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Solution

The third proportional to 483,471 and 1,047,294 is: 2,268,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,471 : 1,047,294 = 1,047,294 : x
  2. Step 2: Convert to fraction form
    483,471/1,047,294 = 1,047,294/x
  3. Step 3: Cross multiply
    483,471x = 1,047,294 × 1,047,294
  4. Step 4: Simplify right side
    483,471x = 1,096,824,722,436
  5. Step 5: Solve for x
    x = 1,096,824,722,436/483,471
  6. Step 6: Final answer
    x = 2,268,646.36

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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.