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Finding the Third Proportional to 430,092 and 933,786

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Solution

The third proportional to 430,092 and 933,786 is: 2,027,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,092 : 933,786 = 933,786 : x
  2. Step 2: Convert to fraction form
    430,092/933,786 = 933,786/x
  3. Step 3: Cross multiply
    430,092x = 933,786 × 933,786
  4. Step 4: Simplify right side
    430,092x = 871,956,293,796
  5. Step 5: Solve for x
    x = 871,956,293,796/430,092
  6. Step 6: Final answer
    x = 2,027,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.