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Finding the Third Proportional to 642,651.47 and 1,522,554.47

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Solution

The third proportional to 642,651.47 and 1,522,554.47 is: 3,607,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,651.47 : 1,522,554.47 = 1,522,554.47 : x
  2. Step 2: Convert to fraction form
    642,651.47/1,522,554.47 = 1,522,554.47/x
  3. Step 3: Cross multiply
    642,651.47x = 1,522,554.47 × 1,522,554.47
  4. Step 4: Simplify right side
    642,651.47x = 2,318,172,110,310.59
  5. Step 5: Solve for x
    x = 2,318,172,110,310.59/642,651.47
  6. Step 6: Final answer
    x = 3,607,199.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.