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Finding the Third Proportional to 614,624 and 926,036

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Solution

The third proportional to 614,624 and 926,036 is: 1,395,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,624 : 926,036 = 926,036 : x
  2. Step 2: Convert to fraction form
    614,624/926,036 = 926,036/x
  3. Step 3: Cross multiply
    614,624x = 926,036 × 926,036
  4. Step 4: Simplify right side
    614,624x = 857,542,673,296
  5. Step 5: Solve for x
    x = 857,542,673,296/614,624
  6. Step 6: Final answer
    x = 1,395,231.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.