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Finding the Third Proportional to 828,478 and 1,774,988

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Solution

The third proportional to 828,478 and 1,774,988 is: 3,802,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,478 : 1,774,988 = 1,774,988 : x
  2. Step 2: Convert to fraction form
    828,478/1,774,988 = 1,774,988/x
  3. Step 3: Cross multiply
    828,478x = 1,774,988 × 1,774,988
  4. Step 4: Simplify right side
    828,478x = 3,150,582,400,144
  5. Step 5: Solve for x
    x = 3,150,582,400,144/828,478
  6. Step 6: Final answer
    x = 3,802,855.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.