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Finding the Third Proportional to 1,670,419 and 2,605,456

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Solution

The third proportional to 1,670,419 and 2,605,456 is: 4,063,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,419 : 2,605,456 = 2,605,456 : x
  2. Step 2: Convert to fraction form
    1,670,419/2,605,456 = 2,605,456/x
  3. Step 3: Cross multiply
    1,670,419x = 2,605,456 × 2,605,456
  4. Step 4: Simplify right side
    1,670,419x = 6,788,400,967,936
  5. Step 5: Solve for x
    x = 6,788,400,967,936/1,670,419
  6. Step 6: Final answer
    x = 4,063,891.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.