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Finding the Third Proportional to 457,268 and 1,003,072

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Solution

The third proportional to 457,268 and 1,003,072 is: 2,200,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,268 : 1,003,072 = 1,003,072 : x
  2. Step 2: Convert to fraction form
    457,268/1,003,072 = 1,003,072/x
  3. Step 3: Cross multiply
    457,268x = 1,003,072 × 1,003,072
  4. Step 4: Simplify right side
    457,268x = 1,006,153,437,184
  5. Step 5: Solve for x
    x = 1,006,153,437,184/457,268
  6. Step 6: Final answer
    x = 2,200,358.30

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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.