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Finding the Third Proportional to 689,148 and 1,488,996

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Solution

The third proportional to 689,148 and 1,488,996 is: 3,217,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,148 : 1,488,996 = 1,488,996 : x
  2. Step 2: Convert to fraction form
    689,148/1,488,996 = 1,488,996/x
  3. Step 3: Cross multiply
    689,148x = 1,488,996 × 1,488,996
  4. Step 4: Simplify right side
    689,148x = 2,217,109,088,016
  5. Step 5: Solve for x
    x = 2,217,109,088,016/689,148
  6. Step 6: Final answer
    x = 3,217,174.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.