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Finding the Third Proportional to 1,130,823 and 2,438,788.50

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Solution

The third proportional to 1,130,823 and 2,438,788.50 is: 5,259,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,823 : 2,438,788.50 = 2,438,788.50 : x
  2. Step 2: Convert to fraction form
    1,130,823/2,438,788.50 = 2,438,788.50/x
  3. Step 3: Cross multiply
    1,130,823x = 2,438,788.50 × 2,438,788.50
  4. Step 4: Simplify right side
    1,130,823x = 5,947,689,347,732.25
  5. Step 5: Solve for x
    x = 5,947,689,347,732.25/1,130,823
  6. Step 6: Final answer
    x = 5,259,611.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.