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Finding the Third Proportional to 3,214,811 and 4,897,586

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Solution

The third proportional to 3,214,811 and 4,897,586 is: 7,461,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,811 : 4,897,586 = 4,897,586 : x
  2. Step 2: Convert to fraction form
    3,214,811/4,897,586 = 4,897,586/x
  3. Step 3: Cross multiply
    3,214,811x = 4,897,586 × 4,897,586
  4. Step 4: Simplify right side
    3,214,811x = 23,986,348,627,396
  5. Step 5: Solve for x
    x = 23,986,348,627,396/3,214,811
  6. Step 6: Final answer
    x = 7,461,200.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.