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Finding the Third Proportional to 1,346,460 and 2,902,872

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Solution

The third proportional to 1,346,460 and 2,902,872 is: 6,258,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,460 : 2,902,872 = 2,902,872 : x
  2. Step 2: Convert to fraction form
    1,346,460/2,902,872 = 2,902,872/x
  3. Step 3: Cross multiply
    1,346,460x = 2,902,872 × 2,902,872
  4. Step 4: Simplify right side
    1,346,460x = 8,426,665,848,384
  5. Step 5: Solve for x
    x = 8,426,665,848,384/1,346,460
  6. Step 6: Final answer
    x = 6,258,385.58

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