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Finding the Third Proportional to 496,944 and 1,072,572

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Solution

The third proportional to 496,944 and 1,072,572 is: 2,314,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,944 : 1,072,572 = 1,072,572 : x
  2. Step 2: Convert to fraction form
    496,944/1,072,572 = 1,072,572/x
  3. Step 3: Cross multiply
    496,944x = 1,072,572 × 1,072,572
  4. Step 4: Simplify right side
    496,944x = 1,150,410,695,184
  5. Step 5: Solve for x
    x = 1,150,410,695,184/496,944
  6. Step 6: Final answer
    x = 2,314,970.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.