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Finding the Third Proportional to 445,032 and 986,154

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Solution

The third proportional to 445,032 and 986,154 is: 2,185,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,032 : 986,154 = 986,154 : x
  2. Step 2: Convert to fraction form
    445,032/986,154 = 986,154/x
  3. Step 3: Cross multiply
    445,032x = 986,154 × 986,154
  4. Step 4: Simplify right side
    445,032x = 972,499,711,716
  5. Step 5: Solve for x
    x = 972,499,711,716/445,032
  6. Step 6: Final answer
    x = 2,185,235.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.