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Finding the Third Proportional to 647,539.31 and 1,423,564.88

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Solution

The third proportional to 647,539.31 and 1,423,564.88 is: 3,129,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,539.31 : 1,423,564.88 = 1,423,564.88 : x
  2. Step 2: Convert to fraction form
    647,539.31/1,423,564.88 = 1,423,564.88/x
  3. Step 3: Cross multiply
    647,539.31x = 1,423,564.88 × 1,423,564.88
  4. Step 4: Simplify right side
    647,539.31x = 2,026,536,953,333.77
  5. Step 5: Solve for x
    x = 2,026,536,953,333.77/647,539.31
  6. Step 6: Final answer
    x = 3,129,596.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.