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Finding the Third Proportional to 457,803 and 996,948

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Solution

The third proportional to 457,803 and 996,948 is: 2,171,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,803 : 996,948 = 996,948 : x
  2. Step 2: Convert to fraction form
    457,803/996,948 = 996,948/x
  3. Step 3: Cross multiply
    457,803x = 996,948 × 996,948
  4. Step 4: Simplify right side
    457,803x = 993,905,314,704
  5. Step 5: Solve for x
    x = 993,905,314,704/457,803
  6. Step 6: Final answer
    x = 2,171,032.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.