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Finding the Third Proportional to 1,487,823 and 2,225,968

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Solution

The third proportional to 1,487,823 and 2,225,968 is: 3,330,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487,823 : 2,225,968 = 2,225,968 : x
  2. Step 2: Convert to fraction form
    1,487,823/2,225,968 = 2,225,968/x
  3. Step 3: Cross multiply
    1,487,823x = 2,225,968 × 2,225,968
  4. Step 4: Simplify right side
    1,487,823x = 4,954,933,537,024
  5. Step 5: Solve for x
    x = 4,954,933,537,024/1,487,823
  6. Step 6: Final answer
    x = 3,330,324.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.