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Finding the Third Proportional to 727,387 and 1,579,190

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Solution

The third proportional to 727,387 and 1,579,190 is: 3,428,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,387 : 1,579,190 = 1,579,190 : x
  2. Step 2: Convert to fraction form
    727,387/1,579,190 = 1,579,190/x
  3. Step 3: Cross multiply
    727,387x = 1,579,190 × 1,579,190
  4. Step 4: Simplify right side
    727,387x = 2,493,841,056,100
  5. Step 5: Solve for x
    x = 2,493,841,056,100/727,387
  6. Step 6: Final answer
    x = 3,428,492.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.