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Finding the Third Proportional to 691,443 and 1,084,669.50

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Solution

The third proportional to 691,443 and 1,084,669.50 is: 1,701,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,443 : 1,084,669.50 = 1,084,669.50 : x
  2. Step 2: Convert to fraction form
    691,443/1,084,669.50 = 1,084,669.50/x
  3. Step 3: Cross multiply
    691,443x = 1,084,669.50 × 1,084,669.50
  4. Step 4: Simplify right side
    691,443x = 1,176,507,924,230.25
  5. Step 5: Solve for x
    x = 1,176,507,924,230.25/691,443
  6. Step 6: Final answer
    x = 1,701,525.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.