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Finding the Third Proportional to 776,356.50 and 1,696,645

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Solution

The third proportional to 776,356.50 and 1,696,645 is: 3,707,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,356.50 : 1,696,645 = 1,696,645 : x
  2. Step 2: Convert to fraction form
    776,356.50/1,696,645 = 1,696,645/x
  3. Step 3: Cross multiply
    776,356.50x = 1,696,645 × 1,696,645
  4. Step 4: Simplify right side
    776,356.50x = 2,878,604,256,025
  5. Step 5: Solve for x
    x = 2,878,604,256,025/776,356.50
  6. Step 6: Final answer
    x = 3,707,838.16

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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.