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Finding the Third Proportional to 535,513 and 1,159,190

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Solution

The third proportional to 535,513 and 1,159,190 is: 2,509,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,513 : 1,159,190 = 1,159,190 : x
  2. Step 2: Convert to fraction form
    535,513/1,159,190 = 1,159,190/x
  3. Step 3: Cross multiply
    535,513x = 1,159,190 × 1,159,190
  4. Step 4: Simplify right side
    535,513x = 1,343,721,456,100
  5. Step 5: Solve for x
    x = 1,343,721,456,100/535,513
  6. Step 6: Final answer
    x = 2,509,222.85

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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.