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Finding the Third Proportional to 1,460,915 and 3,202,042

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Solution

The third proportional to 1,460,915 and 3,202,042 is: 7,018,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,915 : 3,202,042 = 3,202,042 : x
  2. Step 2: Convert to fraction form
    1,460,915/3,202,042 = 3,202,042/x
  3. Step 3: Cross multiply
    1,460,915x = 3,202,042 × 3,202,042
  4. Step 4: Simplify right side
    1,460,915x = 10,253,072,969,764
  5. Step 5: Solve for x
    x = 10,253,072,969,764/1,460,915
  6. Step 6: Final answer
    x = 7,018,254.29

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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.