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Finding the Third Proportional to 897,834 and 1,970,148

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Solution

The third proportional to 897,834 and 1,970,148 is: 4,323,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,834 : 1,970,148 = 1,970,148 : x
  2. Step 2: Convert to fraction form
    897,834/1,970,148 = 1,970,148/x
  3. Step 3: Cross multiply
    897,834x = 1,970,148 × 1,970,148
  4. Step 4: Simplify right side
    897,834x = 3,881,483,141,904
  5. Step 5: Solve for x
    x = 3,881,483,141,904/897,834
  6. Step 6: Final answer
    x = 4,323,163.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.