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Finding the Third Proportional to 840,118 and 1,297,410

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Solution

The third proportional to 840,118 and 1,297,410 is: 2,003,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,118 : 1,297,410 = 1,297,410 : x
  2. Step 2: Convert to fraction form
    840,118/1,297,410 = 1,297,410/x
  3. Step 3: Cross multiply
    840,118x = 1,297,410 × 1,297,410
  4. Step 4: Simplify right side
    840,118x = 1,683,272,708,100
  5. Step 5: Solve for x
    x = 1,683,272,708,100/840,118
  6. Step 6: Final answer
    x = 2,003,614.62

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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.