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Finding the Third Proportional to 2,725,785 and 4,202,397

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Solution

The third proportional to 2,725,785 and 4,202,397 is: 6,478,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,785 : 4,202,397 = 4,202,397 : x
  2. Step 2: Convert to fraction form
    2,725,785/4,202,397 = 4,202,397/x
  3. Step 3: Cross multiply
    2,725,785x = 4,202,397 × 4,202,397
  4. Step 4: Simplify right side
    2,725,785x = 17,660,140,545,609
  5. Step 5: Solve for x
    x = 17,660,140,545,609/2,725,785
  6. Step 6: Final answer
    x = 6,478,919.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.