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Finding the Third Proportional to 592,728 and 1,297,884

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Solution

The third proportional to 592,728 and 1,297,884 is: 2,841,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,728 : 1,297,884 = 1,297,884 : x
  2. Step 2: Convert to fraction form
    592,728/1,297,884 = 1,297,884/x
  3. Step 3: Cross multiply
    592,728x = 1,297,884 × 1,297,884
  4. Step 4: Simplify right side
    592,728x = 1,684,502,877,456
  5. Step 5: Solve for x
    x = 1,684,502,877,456/592,728
  6. Step 6: Final answer
    x = 2,841,949.22

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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.