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Finding the Third Proportional to 727,788 and 1,579,276

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Solution

The third proportional to 727,788 and 1,579,276 is: 3,426,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,788 : 1,579,276 = 1,579,276 : x
  2. Step 2: Convert to fraction form
    727,788/1,579,276 = 1,579,276/x
  3. Step 3: Cross multiply
    727,788x = 1,579,276 × 1,579,276
  4. Step 4: Simplify right side
    727,788x = 2,494,112,684,176
  5. Step 5: Solve for x
    x = 2,494,112,684,176/727,788
  6. Step 6: Final answer
    x = 3,426,976.93

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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.