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Finding the Third Proportional to 374,979 and 824,991

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Solution

The third proportional to 374,979 and 824,991 is: 1,815,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,979 : 824,991 = 824,991 : x
  2. Step 2: Convert to fraction form
    374,979/824,991 = 824,991/x
  3. Step 3: Cross multiply
    374,979x = 824,991 × 824,991
  4. Step 4: Simplify right side
    374,979x = 680,610,150,081
  5. Step 5: Solve for x
    x = 680,610,150,081/374,979
  6. Step 6: Final answer
    x = 1,815,062.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.