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Finding the Third Proportional to 586,004 and 1,263,016

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Solution

The third proportional to 586,004 and 1,263,016 is: 2,722,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,004 : 1,263,016 = 1,263,016 : x
  2. Step 2: Convert to fraction form
    586,004/1,263,016 = 1,263,016/x
  3. Step 3: Cross multiply
    586,004x = 1,263,016 × 1,263,016
  4. Step 4: Simplify right side
    586,004x = 1,595,209,416,256
  5. Step 5: Solve for x
    x = 1,595,209,416,256/586,004
  6. Step 6: Final answer
    x = 2,722,181.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.