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Finding the Third Proportional to 776,373 and 1,696,673

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Solution

The third proportional to 776,373 and 1,696,673 is: 3,707,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,373 : 1,696,673 = 1,696,673 : x
  2. Step 2: Convert to fraction form
    776,373/1,696,673 = 1,696,673/x
  3. Step 3: Cross multiply
    776,373x = 1,696,673 × 1,696,673
  4. Step 4: Simplify right side
    776,373x = 2,878,699,268,929
  5. Step 5: Solve for x
    x = 2,878,699,268,929/776,373
  6. Step 6: Final answer
    x = 3,707,881.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.