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Finding the Third Proportional to 429,962 and 933,550

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Solution

The third proportional to 429,962 and 933,550 is: 2,026,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,962 : 933,550 = 933,550 : x
  2. Step 2: Convert to fraction form
    429,962/933,550 = 933,550/x
  3. Step 3: Cross multiply
    429,962x = 933,550 × 933,550
  4. Step 4: Simplify right side
    429,962x = 871,515,602,500
  5. Step 5: Solve for x
    x = 871,515,602,500/429,962
  6. Step 6: Final answer
    x = 2,026,959.60

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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.