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Finding the Third Proportional to 840,462 and 1,208,178

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Solution

The third proportional to 840,462 and 1,208,178 is: 1,736,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,462 : 1,208,178 = 1,208,178 : x
  2. Step 2: Convert to fraction form
    840,462/1,208,178 = 1,208,178/x
  3. Step 3: Cross multiply
    840,462x = 1,208,178 × 1,208,178
  4. Step 4: Simplify right side
    840,462x = 1,459,694,079,684
  5. Step 5: Solve for x
    x = 1,459,694,079,684/840,462
  6. Step 6: Final answer
    x = 1,736,775.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.