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Finding the Third Proportional to 746,756 and 1,133,985

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Solution

The third proportional to 746,756 and 1,133,985 is: 1,722,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,756 : 1,133,985 = 1,133,985 : x
  2. Step 2: Convert to fraction form
    746,756/1,133,985 = 1,133,985/x
  3. Step 3: Cross multiply
    746,756x = 1,133,985 × 1,133,985
  4. Step 4: Simplify right side
    746,756x = 1,285,921,980,225
  5. Step 5: Solve for x
    x = 1,285,921,980,225/746,756
  6. Step 6: Final answer
    x = 1,722,010.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.