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Finding the Third Proportional to 676,586 and 1,455,232

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Solution

The third proportional to 676,586 and 1,455,232 is: 3,129,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,586 : 1,455,232 = 1,455,232 : x
  2. Step 2: Convert to fraction form
    676,586/1,455,232 = 1,455,232/x
  3. Step 3: Cross multiply
    676,586x = 1,455,232 × 1,455,232
  4. Step 4: Simplify right side
    676,586x = 2,117,700,173,824
  5. Step 5: Solve for x
    x = 2,117,700,173,824/676,586
  6. Step 6: Final answer
    x = 3,129,979.30

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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.