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Finding the Third Proportional to 686,915.44 and 1,496,009.25

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Solution

The third proportional to 686,915.44 and 1,496,009.25 is: 3,258,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,915.44 : 1,496,009.25 = 1,496,009.25 : x
  2. Step 2: Convert to fraction form
    686,915.44/1,496,009.25 = 1,496,009.25/x
  3. Step 3: Cross multiply
    686,915.44x = 1,496,009.25 × 1,496,009.25
  4. Step 4: Simplify right side
    686,915.44x = 2,238,043,676,085.56
  5. Step 5: Solve for x
    x = 2,238,043,676,085.56/686,915.44
  6. Step 6: Final answer
    x = 3,258,106.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.