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Finding the Third Proportional to 429,897.38 and 929,839.50

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Solution

The third proportional to 429,897.38 and 929,839.50 is: 2,011,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,897.38 : 929,839.50 = 929,839.50 : x
  2. Step 2: Convert to fraction form
    429,897.38/929,839.50 = 929,839.50/x
  3. Step 3: Cross multiply
    429,897.38x = 929,839.50 × 929,839.50
  4. Step 4: Simplify right side
    429,897.38x = 864,601,495,760.25
  5. Step 5: Solve for x
    x = 864,601,495,760.25/429,897.38
  6. Step 6: Final answer
    x = 2,011,181.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.