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Finding the Third Proportional to 522,616.50 and 1,130,769

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Solution

The third proportional to 522,616.50 and 1,130,769 is: 2,446,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,616.50 : 1,130,769 = 1,130,769 : x
  2. Step 2: Convert to fraction form
    522,616.50/1,130,769 = 1,130,769/x
  3. Step 3: Cross multiply
    522,616.50x = 1,130,769 × 1,130,769
  4. Step 4: Simplify right side
    522,616.50x = 1,278,638,531,361
  5. Step 5: Solve for x
    x = 1,278,638,531,361/522,616.50
  6. Step 6: Final answer
    x = 2,446,609.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.