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Finding the Third Proportional to 624,102 and 941,769

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Solution

The third proportional to 624,102 and 941,769 is: 1,421,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,102 : 941,769 = 941,769 : x
  2. Step 2: Convert to fraction form
    624,102/941,769 = 941,769/x
  3. Step 3: Cross multiply
    624,102x = 941,769 × 941,769
  4. Step 4: Simplify right side
    624,102x = 886,928,849,361
  5. Step 5: Solve for x
    x = 886,928,849,361/624,102
  6. Step 6: Final answer
    x = 1,421,128.04

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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.