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Finding the Third Proportional to 445,623 and 927,964

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Solution

The third proportional to 445,623 and 927,964 is: 1,932,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,623 : 927,964 = 927,964 : x
  2. Step 2: Convert to fraction form
    445,623/927,964 = 927,964/x
  3. Step 3: Cross multiply
    445,623x = 927,964 × 927,964
  4. Step 4: Simplify right side
    445,623x = 861,117,185,296
  5. Step 5: Solve for x
    x = 861,117,185,296/445,623
  6. Step 6: Final answer
    x = 1,932,389.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.