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Finding the Third Proportional to 1,806,874.50 and 2,408,869.50

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Solution

The third proportional to 1,806,874.50 and 2,408,869.50 is: 3,211,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,874.50 : 2,408,869.50 = 2,408,869.50 : x
  2. Step 2: Convert to fraction form
    1,806,874.50/2,408,869.50 = 2,408,869.50/x
  3. Step 3: Cross multiply
    1,806,874.50x = 2,408,869.50 × 2,408,869.50
  4. Step 4: Simplify right side
    1,806,874.50x = 5,802,652,268,030.25
  5. Step 5: Solve for x
    x = 5,802,652,268,030.25/1,806,874.50
  6. Step 6: Final answer
    x = 3,211,430.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.