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Finding the Third Proportional to 592,740 and 1,296,072

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Solution

The third proportional to 592,740 and 1,296,072 is: 2,833,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,740 : 1,296,072 = 1,296,072 : x
  2. Step 2: Convert to fraction form
    592,740/1,296,072 = 1,296,072/x
  3. Step 3: Cross multiply
    592,740x = 1,296,072 × 1,296,072
  4. Step 4: Simplify right side
    592,740x = 1,679,802,629,184
  5. Step 5: Solve for x
    x = 1,679,802,629,184/592,740
  6. Step 6: Final answer
    x = 2,833,961.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.