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Finding the Third Proportional to 2,050,786 and 4,487,510

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Solution

The third proportional to 2,050,786 and 4,487,510 is: 9,819,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,786 : 4,487,510 = 4,487,510 : x
  2. Step 2: Convert to fraction form
    2,050,786/4,487,510 = 4,487,510/x
  3. Step 3: Cross multiply
    2,050,786x = 4,487,510 × 4,487,510
  4. Step 4: Simplify right side
    2,050,786x = 20,137,746,000,100
  5. Step 5: Solve for x
    x = 20,137,746,000,100/2,050,786
  6. Step 6: Final answer
    x = 9,819,525.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.