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Finding the Third Proportional to 1,691,470 and 3,549,014

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Solution

The third proportional to 1,691,470 and 3,549,014 is: 7,446,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,470 : 3,549,014 = 3,549,014 : x
  2. Step 2: Convert to fraction form
    1,691,470/3,549,014 = 3,549,014/x
  3. Step 3: Cross multiply
    1,691,470x = 3,549,014 × 3,549,014
  4. Step 4: Simplify right side
    1,691,470x = 12,595,500,372,196
  5. Step 5: Solve for x
    x = 12,595,500,372,196/1,691,470
  6. Step 6: Final answer
    x = 7,446,481.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.