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Finding the Third Proportional to 592,989 and 1,269,624

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Solution

The third proportional to 592,989 and 1,269,624 is: 2,718,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,989 : 1,269,624 = 1,269,624 : x
  2. Step 2: Convert to fraction form
    592,989/1,269,624 = 1,269,624/x
  3. Step 3: Cross multiply
    592,989x = 1,269,624 × 1,269,624
  4. Step 4: Simplify right side
    592,989x = 1,611,945,101,376
  5. Step 5: Solve for x
    x = 1,611,945,101,376/592,989
  6. Step 6: Final answer
    x = 2,718,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.