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Finding the Third Proportional to 813,944 and 1,768,005

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Solution

The third proportional to 813,944 and 1,768,005 is: 3,840,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,944 : 1,768,005 = 1,768,005 : x
  2. Step 2: Convert to fraction form
    813,944/1,768,005 = 1,768,005/x
  3. Step 3: Cross multiply
    813,944x = 1,768,005 × 1,768,005
  4. Step 4: Simplify right side
    813,944x = 3,125,841,680,025
  5. Step 5: Solve for x
    x = 3,125,841,680,025/813,944
  6. Step 6: Final answer
    x = 3,840,364.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.