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Finding the Third Proportional to 1,346,456 and 1,967,608

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Solution

The third proportional to 1,346,456 and 1,967,608 is: 2,875,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,456 : 1,967,608 = 1,967,608 : x
  2. Step 2: Convert to fraction form
    1,346,456/1,967,608 = 1,967,608/x
  3. Step 3: Cross multiply
    1,346,456x = 1,967,608 × 1,967,608
  4. Step 4: Simplify right side
    1,346,456x = 3,871,481,241,664
  5. Step 5: Solve for x
    x = 3,871,481,241,664/1,346,456
  6. Step 6: Final answer
    x = 2,875,312.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.