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Finding the Third Proportional to 592,742 and 1,297,912

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Solution

The third proportional to 592,742 and 1,297,912 is: 2,842,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,742 : 1,297,912 = 1,297,912 : x
  2. Step 2: Convert to fraction form
    592,742/1,297,912 = 1,297,912/x
  3. Step 3: Cross multiply
    592,742x = 1,297,912 × 1,297,912
  4. Step 4: Simplify right side
    592,742x = 1,684,575,559,744
  5. Step 5: Solve for x
    x = 1,684,575,559,744/592,742
  6. Step 6: Final answer
    x = 2,842,004.72

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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.