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Finding the Third Proportional to 897,828 and 1,259,818

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Solution

The third proportional to 897,828 and 1,259,818 is: 1,767,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,828 : 1,259,818 = 1,259,818 : x
  2. Step 2: Convert to fraction form
    897,828/1,259,818 = 1,259,818/x
  3. Step 3: Cross multiply
    897,828x = 1,259,818 × 1,259,818
  4. Step 4: Simplify right side
    897,828x = 1,587,141,393,124
  5. Step 5: Solve for x
    x = 1,587,141,393,124/897,828
  6. Step 6: Final answer
    x = 1,767,756.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.