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Finding the Third Proportional to 4,230,610 and 6,168,711

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Solution

The third proportional to 4,230,610 and 6,168,711 is: 8,994,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230,610 : 6,168,711 = 6,168,711 : x
  2. Step 2: Convert to fraction form
    4,230,610/6,168,711 = 6,168,711/x
  3. Step 3: Cross multiply
    4,230,610x = 6,168,711 × 6,168,711
  4. Step 4: Simplify right side
    4,230,610x = 38,052,995,401,521
  5. Step 5: Solve for x
    x = 38,052,995,401,521/4,230,610
  6. Step 6: Final answer
    x = 8,994,682.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.