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Finding the Third Proportional to 727,470 and 1,579,356

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Solution

The third proportional to 727,470 and 1,579,356 is: 3,428,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,470 : 1,579,356 = 1,579,356 : x
  2. Step 2: Convert to fraction form
    727,470/1,579,356 = 1,579,356/x
  3. Step 3: Cross multiply
    727,470x = 1,579,356 × 1,579,356
  4. Step 4: Simplify right side
    727,470x = 2,494,365,374,736
  5. Step 5: Solve for x
    x = 2,494,365,374,736/727,470
  6. Step 6: Final answer
    x = 3,428,822.32

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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.