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Finding the Third Proportional to 612,494 and 901,236

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Solution

The third proportional to 612,494 and 901,236 is: 1,326,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,494 : 901,236 = 901,236 : x
  2. Step 2: Convert to fraction form
    612,494/901,236 = 901,236/x
  3. Step 3: Cross multiply
    612,494x = 901,236 × 901,236
  4. Step 4: Simplify right side
    612,494x = 812,226,327,696
  5. Step 5: Solve for x
    x = 812,226,327,696/612,494
  6. Step 6: Final answer
    x = 1,326,096.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.