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Finding the Third Proportional to 462,444 and 1,008,925

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Solution

The third proportional to 462,444 and 1,008,925 is: 2,201,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,444 : 1,008,925 = 1,008,925 : x
  2. Step 2: Convert to fraction form
    462,444/1,008,925 = 1,008,925/x
  3. Step 3: Cross multiply
    462,444x = 1,008,925 × 1,008,925
  4. Step 4: Simplify right side
    462,444x = 1,017,929,655,625
  5. Step 5: Solve for x
    x = 1,017,929,655,625/462,444
  6. Step 6: Final answer
    x = 2,201,195.51

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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.