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Finding the Third Proportional to 1,970,346 and 4,244,643

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Solution

The third proportional to 1,970,346 and 4,244,643 is: 9,144,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,346 : 4,244,643 = 4,244,643 : x
  2. Step 2: Convert to fraction form
    1,970,346/4,244,643 = 4,244,643/x
  3. Step 3: Cross multiply
    1,970,346x = 4,244,643 × 4,244,643
  4. Step 4: Simplify right side
    1,970,346x = 18,016,994,197,449
  5. Step 5: Solve for x
    x = 18,016,994,197,449/1,970,346
  6. Step 6: Final answer
    x = 9,144,076.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.