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Finding the Third Proportional to 1,775,416 and 3,882,968

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Solution

The third proportional to 1,775,416 and 3,882,968 is: 8,492,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,416 : 3,882,968 = 3,882,968 : x
  2. Step 2: Convert to fraction form
    1,775,416/3,882,968 = 3,882,968/x
  3. Step 3: Cross multiply
    1,775,416x = 3,882,968 × 3,882,968
  4. Step 4: Simplify right side
    1,775,416x = 15,077,440,489,024
  5. Step 5: Solve for x
    x = 15,077,440,489,024/1,775,416
  6. Step 6: Final answer
    x = 8,492,342.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.