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Finding the Third Proportional to 689,577.05 and 1,503,303.05

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Solution

The third proportional to 689,577.05 and 1,503,303.05 is: 3,277,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,577.05 : 1,503,303.05 = 1,503,303.05 : x
  2. Step 2: Convert to fraction form
    689,577.05/1,503,303.05 = 1,503,303.05/x
  3. Step 3: Cross multiply
    689,577.05x = 1,503,303.05 × 1,503,303.05
  4. Step 4: Simplify right side
    689,577.05x = 2,259,920,050,743.66
  5. Step 5: Solve for x
    x = 2,259,920,050,743.66/689,577.05
  6. Step 6: Final answer
    x = 3,277,255.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.