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Finding the Third Proportional to 2,050,737 and 4,487,616

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Solution

The third proportional to 2,050,737 and 4,487,616 is: 9,820,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,737 : 4,487,616 = 4,487,616 : x
  2. Step 2: Convert to fraction form
    2,050,737/4,487,616 = 4,487,616/x
  3. Step 3: Cross multiply
    2,050,737x = 4,487,616 × 4,487,616
  4. Step 4: Simplify right side
    2,050,737x = 20,138,697,363,456
  5. Step 5: Solve for x
    x = 20,138,697,363,456/2,050,737
  6. Step 6: Final answer
    x = 9,820,224.32

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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.