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Finding the Third Proportional to 1,838,196 and 3,971,556

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Solution

The third proportional to 1,838,196 and 3,971,556 is: 8,580,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,196 : 3,971,556 = 3,971,556 : x
  2. Step 2: Convert to fraction form
    1,838,196/3,971,556 = 3,971,556/x
  3. Step 3: Cross multiply
    1,838,196x = 3,971,556 × 3,971,556
  4. Step 4: Simplify right side
    1,838,196x = 15,773,257,061,136
  5. Step 5: Solve for x
    x = 15,773,257,061,136/1,838,196
  6. Step 6: Final answer
    x = 8,580,835.27

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