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Finding the Third Proportional to 624,030 and 1,216,956

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Solution

The third proportional to 624,030 and 1,216,956 is: 2,373,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,030 : 1,216,956 = 1,216,956 : x
  2. Step 2: Convert to fraction form
    624,030/1,216,956 = 1,216,956/x
  3. Step 3: Cross multiply
    624,030x = 1,216,956 × 1,216,956
  4. Step 4: Simplify right side
    624,030x = 1,480,981,905,936
  5. Step 5: Solve for x
    x = 1,480,981,905,936/624,030
  6. Step 6: Final answer
    x = 2,373,254.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.