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Finding the Third Proportional to 466,526 and 982,858

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Solution

The third proportional to 466,526 and 982,858 is: 2,070,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,526 : 982,858 = 982,858 : x
  2. Step 2: Convert to fraction form
    466,526/982,858 = 982,858/x
  3. Step 3: Cross multiply
    466,526x = 982,858 × 982,858
  4. Step 4: Simplify right side
    466,526x = 966,009,848,164
  5. Step 5: Solve for x
    x = 966,009,848,164/466,526
  6. Step 6: Final answer
    x = 2,070,645.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.