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Finding the Third Proportional to 781,696 and 1,703,356

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Solution

The third proportional to 781,696 and 1,703,356 is: 3,711,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,696 : 1,703,356 = 1,703,356 : x
  2. Step 2: Convert to fraction form
    781,696/1,703,356 = 1,703,356/x
  3. Step 3: Cross multiply
    781,696x = 1,703,356 × 1,703,356
  4. Step 4: Simplify right side
    781,696x = 2,901,421,662,736
  5. Step 5: Solve for x
    x = 2,901,421,662,736/781,696
  6. Step 6: Final answer
    x = 3,711,700.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.