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Finding the Third Proportional to 624,024 and 940,446

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Solution

The third proportional to 624,024 and 940,446 is: 1,417,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,024 : 940,446 = 940,446 : x
  2. Step 2: Convert to fraction form
    624,024/940,446 = 940,446/x
  3. Step 3: Cross multiply
    624,024x = 940,446 × 940,446
  4. Step 4: Simplify right side
    624,024x = 884,438,678,916
  5. Step 5: Solve for x
    x = 884,438,678,916/624,024
  6. Step 6: Final answer
    x = 1,417,315.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.