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Finding the Third Proportional to 714,861.38 and 1,114,493.63

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Solution

The third proportional to 714,861.38 and 1,114,493.63 is: 1,737,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,861.38 : 1,114,493.63 = 1,114,493.63 : x
  2. Step 2: Convert to fraction form
    714,861.38/1,114,493.63 = 1,114,493.63/x
  3. Step 3: Cross multiply
    714,861.38x = 1,114,493.63 × 1,114,493.63
  4. Step 4: Simplify right side
    714,861.38x = 1,242,096,040,165.64
  5. Step 5: Solve for x
    x = 1,242,096,040,165.64/714,861.38
  6. Step 6: Final answer
    x = 1,737,534.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.