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Finding the Third Proportional to 467,772 and 1,024,572

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Solution

The third proportional to 467,772 and 1,024,572 is: 2,244,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,772 : 1,024,572 = 1,024,572 : x
  2. Step 2: Convert to fraction form
    467,772/1,024,572 = 1,024,572/x
  3. Step 3: Cross multiply
    467,772x = 1,024,572 × 1,024,572
  4. Step 4: Simplify right side
    467,772x = 1,049,747,783,184
  5. Step 5: Solve for x
    x = 1,049,747,783,184/467,772
  6. Step 6: Final answer
    x = 2,244,144.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.