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Finding the Third Proportional to 820,592.63 and 1,318,464

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Solution

The third proportional to 820,592.63 and 1,318,464 is: 2,118,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,592.63 : 1,318,464 = 1,318,464 : x
  2. Step 2: Convert to fraction form
    820,592.63/1,318,464 = 1,318,464/x
  3. Step 3: Cross multiply
    820,592.63x = 1,318,464 × 1,318,464
  4. Step 4: Simplify right side
    820,592.63x = 1,738,347,319,296
  5. Step 5: Solve for x
    x = 1,738,347,319,296/820,592.63
  6. Step 6: Final answer
    x = 2,118,404.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.