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Finding the Third Proportional to 566,731.69 and 1,197,425.53

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Solution

The third proportional to 566,731.69 and 1,197,425.53 is: 2,529,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,731.69 : 1,197,425.53 = 1,197,425.53 : x
  2. Step 2: Convert to fraction form
    566,731.69/1,197,425.53 = 1,197,425.53/x
  3. Step 3: Cross multiply
    566,731.69x = 1,197,425.53 × 1,197,425.53
  4. Step 4: Simplify right side
    566,731.69x = 1,433,827,902,889.34
  5. Step 5: Solve for x
    x = 1,433,827,902,889.34/566,731.69
  6. Step 6: Final answer
    x = 2,529,994.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.