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Finding the Third Proportional to 430,629 and 927,069

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Solution

The third proportional to 430,629 and 927,069 is: 1,995,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,629 : 927,069 = 927,069 : x
  2. Step 2: Convert to fraction form
    430,629/927,069 = 927,069/x
  3. Step 3: Cross multiply
    430,629x = 927,069 × 927,069
  4. Step 4: Simplify right side
    430,629x = 859,456,930,761
  5. Step 5: Solve for x
    x = 859,456,930,761/430,629
  6. Step 6: Final answer
    x = 1,995,817.58

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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.