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Finding the Third Proportional to 3,043,784 and 4,719,564

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Solution

The third proportional to 3,043,784 and 4,719,564 is: 7,317,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043,784 : 4,719,564 = 4,719,564 : x
  2. Step 2: Convert to fraction form
    3,043,784/4,719,564 = 4,719,564/x
  3. Step 3: Cross multiply
    3,043,784x = 4,719,564 × 4,719,564
  4. Step 4: Simplify right side
    3,043,784x = 22,274,284,350,096
  5. Step 5: Solve for x
    x = 22,274,284,350,096/3,043,784
  6. Step 6: Final answer
    x = 7,317,958.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.