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Finding the Third Proportional to 749,440 and 1,769,088

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Solution

The third proportional to 749,440 and 1,769,088 is: 4,176,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,440 : 1,769,088 = 1,769,088 : x
  2. Step 2: Convert to fraction form
    749,440/1,769,088 = 1,769,088/x
  3. Step 3: Cross multiply
    749,440x = 1,769,088 × 1,769,088
  4. Step 4: Simplify right side
    749,440x = 3,129,672,351,744
  5. Step 5: Solve for x
    x = 3,129,672,351,744/749,440
  6. Step 6: Final answer
    x = 4,176,014.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.