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Finding the Third Proportional to 1,971,942.47 and 2,970,890.16

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Solution

The third proportional to 1,971,942.47 and 2,970,890.16 is: 4,475,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,942.47 : 2,970,890.16 = 2,970,890.16 : x
  2. Step 2: Convert to fraction form
    1,971,942.47/2,970,890.16 = 2,970,890.16/x
  3. Step 3: Cross multiply
    1,971,942.47x = 2,970,890.16 × 2,970,890.16
  4. Step 4: Simplify right side
    1,971,942.47x = 8,826,188,320,503.15
  5. Step 5: Solve for x
    x = 8,826,188,320,503.15/1,971,942.47
  6. Step 6: Final answer
    x = 4,475,885.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.