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Finding the Third Proportional to 689,957 and 1,059,080

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Solution

The third proportional to 689,957 and 1,059,080 is: 1,625,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,957 : 1,059,080 = 1,059,080 : x
  2. Step 2: Convert to fraction form
    689,957/1,059,080 = 1,059,080/x
  3. Step 3: Cross multiply
    689,957x = 1,059,080 × 1,059,080
  4. Step 4: Simplify right side
    689,957x = 1,121,650,446,400
  5. Step 5: Solve for x
    x = 1,121,650,446,400/689,957
  6. Step 6: Final answer
    x = 1,625,681.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.