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Finding the Third Proportional to 1,743,464 and 2,665,932

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Solution

The third proportional to 1,743,464 and 2,665,932 is: 4,076,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,464 : 2,665,932 = 2,665,932 : x
  2. Step 2: Convert to fraction form
    1,743,464/2,665,932 = 2,665,932/x
  3. Step 3: Cross multiply
    1,743,464x = 2,665,932 × 2,665,932
  4. Step 4: Simplify right side
    1,743,464x = 7,107,193,428,624
  5. Step 5: Solve for x
    x = 7,107,193,428,624/1,743,464
  6. Step 6: Final answer
    x = 4,076,478.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.