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Finding the Third Proportional to 612,812 and 945,057

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Solution

The third proportional to 612,812 and 945,057 is: 1,457,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,812 : 945,057 = 945,057 : x
  2. Step 2: Convert to fraction form
    612,812/945,057 = 945,057/x
  3. Step 3: Cross multiply
    612,812x = 945,057 × 945,057
  4. Step 4: Simplify right side
    612,812x = 893,132,733,249
  5. Step 5: Solve for x
    x = 893,132,733,249/612,812
  6. Step 6: Final answer
    x = 1,457,433.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.