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Finding the Third Proportional to 378,774 and 810,746

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Solution

The third proportional to 378,774 and 810,746 is: 1,735,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,774 : 810,746 = 810,746 : x
  2. Step 2: Convert to fraction form
    378,774/810,746 = 810,746/x
  3. Step 3: Cross multiply
    378,774x = 810,746 × 810,746
  4. Step 4: Simplify right side
    378,774x = 657,309,076,516
  5. Step 5: Solve for x
    x = 657,309,076,516/378,774
  6. Step 6: Final answer
    x = 1,735,359.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.