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Finding the Third Proportional to 592,704 and 1,297,836

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Solution

The third proportional to 592,704 and 1,297,836 is: 2,841,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,704 : 1,297,836 = 1,297,836 : x
  2. Step 2: Convert to fraction form
    592,704/1,297,836 = 1,297,836/x
  3. Step 3: Cross multiply
    592,704x = 1,297,836 × 1,297,836
  4. Step 4: Simplify right side
    592,704x = 1,684,378,282,896
  5. Step 5: Solve for x
    x = 1,684,378,282,896/592,704
  6. Step 6: Final answer
    x = 2,841,854.08

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Why These Related Problems?

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