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Finding the Third Proportional to 614,808 and 940,868

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Solution

The third proportional to 614,808 and 940,868 is: 1,439,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,808 : 940,868 = 940,868 : x
  2. Step 2: Convert to fraction form
    614,808/940,868 = 940,868/x
  3. Step 3: Cross multiply
    614,808x = 940,868 × 940,868
  4. Step 4: Simplify right side
    614,808x = 885,232,593,424
  5. Step 5: Solve for x
    x = 885,232,593,424/614,808
  6. Step 6: Final answer
    x = 1,439,852.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.