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Finding the Third Proportional to 466,765.50 and 1,023,891

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Solution

The third proportional to 466,765.50 and 1,023,891 is: 2,245,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,765.50 : 1,023,891 = 1,023,891 : x
  2. Step 2: Convert to fraction form
    466,765.50/1,023,891 = 1,023,891/x
  3. Step 3: Cross multiply
    466,765.50x = 1,023,891 × 1,023,891
  4. Step 4: Simplify right side
    466,765.50x = 1,048,352,779,881
  5. Step 5: Solve for x
    x = 1,048,352,779,881/466,765.50
  6. Step 6: Final answer
    x = 2,245,994.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.