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Finding the Third Proportional to 430,620 and 927,044

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Solution

The third proportional to 430,620 and 927,044 is: 1,995,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,620 : 927,044 = 927,044 : x
  2. Step 2: Convert to fraction form
    430,620/927,044 = 927,044/x
  3. Step 3: Cross multiply
    430,620x = 927,044 × 927,044
  4. Step 4: Simplify right side
    430,620x = 859,410,577,936
  5. Step 5: Solve for x
    x = 859,410,577,936/430,620
  6. Step 6: Final answer
    x = 1,995,751.66

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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.