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Finding the Third Proportional to 761,880 and 1,638,420

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Solution

The third proportional to 761,880 and 1,638,420 is: 3,523,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,880 : 1,638,420 = 1,638,420 : x
  2. Step 2: Convert to fraction form
    761,880/1,638,420 = 1,638,420/x
  3. Step 3: Cross multiply
    761,880x = 1,638,420 × 1,638,420
  4. Step 4: Simplify right side
    761,880x = 2,684,420,096,400
  5. Step 5: Solve for x
    x = 2,684,420,096,400/761,880
  6. Step 6: Final answer
    x = 3,523,415.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.