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Finding the Third Proportional to 1,347,945 and 2,885,430

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Solution

The third proportional to 1,347,945 and 2,885,430 is: 6,176,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,945 : 2,885,430 = 2,885,430 : x
  2. Step 2: Convert to fraction form
    1,347,945/2,885,430 = 2,885,430/x
  3. Step 3: Cross multiply
    1,347,945x = 2,885,430 × 2,885,430
  4. Step 4: Simplify right side
    1,347,945x = 8,325,706,284,900
  5. Step 5: Solve for x
    x = 8,325,706,284,900/1,347,945
  6. Step 6: Final answer
    x = 6,176,591.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.