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Finding the Third Proportional to 430,286 and 933,148

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Solution

The third proportional to 430,286 and 933,148 is: 2,023,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,286 : 933,148 = 933,148 : x
  2. Step 2: Convert to fraction form
    430,286/933,148 = 933,148/x
  3. Step 3: Cross multiply
    430,286x = 933,148 × 933,148
  4. Step 4: Simplify right side
    430,286x = 870,765,189,904
  5. Step 5: Solve for x
    x = 870,765,189,904/430,286
  6. Step 6: Final answer
    x = 2,023,689.34

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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.