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Finding the Third Proportional to 460,526 and 991,036

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Solution

The third proportional to 460,526 and 991,036 is: 2,132,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,526 : 991,036 = 991,036 : x
  2. Step 2: Convert to fraction form
    460,526/991,036 = 991,036/x
  3. Step 3: Cross multiply
    460,526x = 991,036 × 991,036
  4. Step 4: Simplify right side
    460,526x = 982,152,353,296
  5. Step 5: Solve for x
    x = 982,152,353,296/460,526
  6. Step 6: Final answer
    x = 2,132,675.14

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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.