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Finding the Third Proportional to 1,680,462 and 2,582,991

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Solution

The third proportional to 1,680,462 and 2,582,991 is: 3,970,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,462 : 2,582,991 = 2,582,991 : x
  2. Step 2: Convert to fraction form
    1,680,462/2,582,991 = 2,582,991/x
  3. Step 3: Cross multiply
    1,680,462x = 2,582,991 × 2,582,991
  4. Step 4: Simplify right side
    1,680,462x = 6,671,842,506,081
  5. Step 5: Solve for x
    x = 6,671,842,506,081/1,680,462
  6. Step 6: Final answer
    x = 3,970,243.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.