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Finding the Third Proportional to 460,559 and 991,102

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Solution

The third proportional to 460,559 and 991,102 is: 2,132,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,559 : 991,102 = 991,102 : x
  2. Step 2: Convert to fraction form
    460,559/991,102 = 991,102/x
  3. Step 3: Cross multiply
    460,559x = 991,102 × 991,102
  4. Step 4: Simplify right side
    460,559x = 982,283,174,404
  5. Step 5: Solve for x
    x = 982,283,174,404/460,559
  6. Step 6: Final answer
    x = 2,132,806.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.