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Finding the Third Proportional to 4,021,920 and 5,164,038

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Solution

The third proportional to 4,021,920 and 5,164,038 is: 6,630,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021,920 : 5,164,038 = 5,164,038 : x
  2. Step 2: Convert to fraction form
    4,021,920/5,164,038 = 5,164,038/x
  3. Step 3: Cross multiply
    4,021,920x = 5,164,038 × 5,164,038
  4. Step 4: Simplify right side
    4,021,920x = 26,667,288,465,444
  5. Step 5: Solve for x
    x = 26,667,288,465,444/4,021,920
  6. Step 6: Final answer
    x = 6,630,487.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.