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Finding the Third Proportional to 2,880,420 and 4,328,284

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Solution

The third proportional to 2,880,420 and 4,328,284 is: 6,503,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880,420 : 4,328,284 = 4,328,284 : x
  2. Step 2: Convert to fraction form
    2,880,420/4,328,284 = 4,328,284/x
  3. Step 3: Cross multiply
    2,880,420x = 4,328,284 × 4,328,284
  4. Step 4: Simplify right side
    2,880,420x = 18,734,042,384,656
  5. Step 5: Solve for x
    x = 18,734,042,384,656/2,880,420
  6. Step 6: Final answer
    x = 6,503,927.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.