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Finding the Third Proportional to 735,669 and 1,587,433.50

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Solution

The third proportional to 735,669 and 1,587,433.50 is: 3,425,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,669 : 1,587,433.50 = 1,587,433.50 : x
  2. Step 2: Convert to fraction form
    735,669/1,587,433.50 = 1,587,433.50/x
  3. Step 3: Cross multiply
    735,669x = 1,587,433.50 × 1,587,433.50
  4. Step 4: Simplify right side
    735,669x = 2,519,945,116,922.25
  5. Step 5: Solve for x
    x = 2,519,945,116,922.25/735,669
  6. Step 6: Final answer
    x = 3,425,378.96

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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.