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Finding the Third Proportional to 2,050,800 and 4,487,538

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Solution

The third proportional to 2,050,800 and 4,487,538 is: 9,819,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,800 : 4,487,538 = 4,487,538 : x
  2. Step 2: Convert to fraction form
    2,050,800/4,487,538 = 4,487,538/x
  3. Step 3: Cross multiply
    2,050,800x = 4,487,538 × 4,487,538
  4. Step 4: Simplify right side
    2,050,800x = 20,137,997,301,444
  5. Step 5: Solve for x
    x = 20,137,997,301,444/2,050,800
  6. Step 6: Final answer
    x = 9,819,581.29

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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.