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Finding the Third Proportional to 897,824 and 1,970,110

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Solution

The third proportional to 897,824 and 1,970,110 is: 4,323,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,824 : 1,970,110 = 1,970,110 : x
  2. Step 2: Convert to fraction form
    897,824/1,970,110 = 1,970,110/x
  3. Step 3: Cross multiply
    897,824x = 1,970,110 × 1,970,110
  4. Step 4: Simplify right side
    897,824x = 3,881,333,412,100
  5. Step 5: Solve for x
    x = 3,881,333,412,100/897,824
  6. Step 6: Final answer
    x = 4,323,044.84

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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.