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Finding the Third Proportional to 415,610 and 897,676

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Solution

The third proportional to 415,610 and 897,676 is: 1,938,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,610 : 897,676 = 897,676 : x
  2. Step 2: Convert to fraction form
    415,610/897,676 = 897,676/x
  3. Step 3: Cross multiply
    415,610x = 897,676 × 897,676
  4. Step 4: Simplify right side
    415,610x = 805,822,200,976
  5. Step 5: Solve for x
    x = 805,822,200,976/415,610
  6. Step 6: Final answer
    x = 1,938,890.31

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Why These Related Problems?

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