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Finding the Third Proportional to 897,609 and 1,311,696

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Solution

The third proportional to 897,609 and 1,311,696 is: 1,916,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,609 : 1,311,696 = 1,311,696 : x
  2. Step 2: Convert to fraction form
    897,609/1,311,696 = 1,311,696/x
  3. Step 3: Cross multiply
    897,609x = 1,311,696 × 1,311,696
  4. Step 4: Simplify right side
    897,609x = 1,720,546,396,416
  5. Step 5: Solve for x
    x = 1,720,546,396,416/897,609
  6. Step 6: Final answer
    x = 1,916,810.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.