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Finding the Third Proportional to 508,024 and 1,119,710

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Solution

The third proportional to 508,024 and 1,119,710 is: 2,467,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,024 : 1,119,710 = 1,119,710 : x
  2. Step 2: Convert to fraction form
    508,024/1,119,710 = 1,119,710/x
  3. Step 3: Cross multiply
    508,024x = 1,119,710 × 1,119,710
  4. Step 4: Simplify right side
    508,024x = 1,253,750,484,100
  5. Step 5: Solve for x
    x = 1,253,750,484,100/508,024
  6. Step 6: Final answer
    x = 2,467,896.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.