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Finding the Third Proportional to 1,489,386 and 3,214,968

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Solution

The third proportional to 1,489,386 and 3,214,968 is: 6,939,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,386 : 3,214,968 = 3,214,968 : x
  2. Step 2: Convert to fraction form
    1,489,386/3,214,968 = 3,214,968/x
  3. Step 3: Cross multiply
    1,489,386x = 3,214,968 × 3,214,968
  4. Step 4: Simplify right side
    1,489,386x = 10,336,019,241,024
  5. Step 5: Solve for x
    x = 10,336,019,241,024/1,489,386
  6. Step 6: Final answer
    x = 6,939,785.42

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Why These Related Problems?

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