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Finding the Third Proportional to 756,774 and 1,138,338

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Solution

The third proportional to 756,774 and 1,138,338 is: 1,712,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,774 : 1,138,338 = 1,138,338 : x
  2. Step 2: Convert to fraction form
    756,774/1,138,338 = 1,138,338/x
  3. Step 3: Cross multiply
    756,774x = 1,138,338 × 1,138,338
  4. Step 4: Simplify right side
    756,774x = 1,295,813,402,244
  5. Step 5: Solve for x
    x = 1,295,813,402,244/756,774
  6. Step 6: Final answer
    x = 1,712,285.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.