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Finding the Third Proportional to 580,814.81 and 1,258,142.44

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Solution

The third proportional to 580,814.81 and 1,258,142.44 is: 2,725,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,814.81 : 1,258,142.44 = 1,258,142.44 : x
  2. Step 2: Convert to fraction form
    580,814.81/1,258,142.44 = 1,258,142.44/x
  3. Step 3: Cross multiply
    580,814.81x = 1,258,142.44 × 1,258,142.44
  4. Step 4: Simplify right side
    580,814.81x = 1,582,922,393,038.44
  5. Step 5: Solve for x
    x = 1,582,922,393,038.44/580,814.81
  6. Step 6: Final answer
    x = 2,725,347.84

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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.