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Finding the Third Proportional to 430,285 and 933,146

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Solution

The third proportional to 430,285 and 933,146 is: 2,023,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,285 : 933,146 = 933,146 : x
  2. Step 2: Convert to fraction form
    430,285/933,146 = 933,146/x
  3. Step 3: Cross multiply
    430,285x = 933,146 × 933,146
  4. Step 4: Simplify right side
    430,285x = 870,761,457,316
  5. Step 5: Solve for x
    x = 870,761,457,316/430,285
  6. Step 6: Final answer
    x = 2,023,685.37

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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.