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Finding the Third Proportional to 4,638,746 and 6,532,383

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Solution

The third proportional to 4,638,746 and 6,532,383 is: 9,199,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,746 : 6,532,383 = 6,532,383 : x
  2. Step 2: Convert to fraction form
    4,638,746/6,532,383 = 6,532,383/x
  3. Step 3: Cross multiply
    4,638,746x = 6,532,383 × 6,532,383
  4. Step 4: Simplify right side
    4,638,746x = 42,672,027,658,689
  5. Step 5: Solve for x
    x = 42,672,027,658,689/4,638,746
  6. Step 6: Final answer
    x = 9,199,043.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.