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Finding the Third Proportional to 746,514 and 1,133,595

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Solution

The third proportional to 746,514 and 1,133,595 is: 1,721,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,514 : 1,133,595 = 1,133,595 : x
  2. Step 2: Convert to fraction form
    746,514/1,133,595 = 1,133,595/x
  3. Step 3: Cross multiply
    746,514x = 1,133,595 × 1,133,595
  4. Step 4: Simplify right side
    746,514x = 1,285,037,624,025
  5. Step 5: Solve for x
    x = 1,285,037,624,025/746,514
  6. Step 6: Final answer
    x = 1,721,384.49

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