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Finding the Third Proportional to 524,608 and 1,132,970

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Solution

The third proportional to 524,608 and 1,132,970 is: 2,446,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,608 : 1,132,970 = 1,132,970 : x
  2. Step 2: Convert to fraction form
    524,608/1,132,970 = 1,132,970/x
  3. Step 3: Cross multiply
    524,608x = 1,132,970 × 1,132,970
  4. Step 4: Simplify right side
    524,608x = 1,283,621,020,900
  5. Step 5: Solve for x
    x = 1,283,621,020,900/524,608
  6. Step 6: Final answer
    x = 2,446,819.38

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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.