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Finding the Third Proportional to 1,865,513 and 2,880,728

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Solution

The third proportional to 1,865,513 and 2,880,728 is: 4,448,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,513 : 2,880,728 = 2,880,728 : x
  2. Step 2: Convert to fraction form
    1,865,513/2,880,728 = 2,880,728/x
  3. Step 3: Cross multiply
    1,865,513x = 2,880,728 × 2,880,728
  4. Step 4: Simplify right side
    1,865,513x = 8,298,593,809,984
  5. Step 5: Solve for x
    x = 8,298,593,809,984/1,865,513
  6. Step 6: Final answer
    x = 4,448,424.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.