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Finding the Third Proportional to 750,460.50 and 1,123,638

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Solution

The third proportional to 750,460.50 and 1,123,638 is: 1,682,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,460.50 : 1,123,638 = 1,123,638 : x
  2. Step 2: Convert to fraction form
    750,460.50/1,123,638 = 1,123,638/x
  3. Step 3: Cross multiply
    750,460.50x = 1,123,638 × 1,123,638
  4. Step 4: Simplify right side
    750,460.50x = 1,262,562,355,044
  5. Step 5: Solve for x
    x = 1,262,562,355,044/750,460.50
  6. Step 6: Final answer
    x = 1,682,383.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.