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Finding the Third Proportional to 2,031,000 and 4,811,820

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Solution

The third proportional to 2,031,000 and 4,811,820 is: 11,400,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,000 : 4,811,820 = 4,811,820 : x
  2. Step 2: Convert to fraction form
    2,031,000/4,811,820 = 4,811,820/x
  3. Step 3: Cross multiply
    2,031,000x = 4,811,820 × 4,811,820
  4. Step 4: Simplify right side
    2,031,000x = 23,153,611,712,400
  5. Step 5: Solve for x
    x = 23,153,611,712,400/2,031,000
  6. Step 6: Final answer
    x = 11,400,104.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.