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Finding the Third Proportional to 569,314 and 1,226,596

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Solution

The third proportional to 569,314 and 1,226,596 is: 2,642,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,314 : 1,226,596 = 1,226,596 : x
  2. Step 2: Convert to fraction form
    569,314/1,226,596 = 1,226,596/x
  3. Step 3: Cross multiply
    569,314x = 1,226,596 × 1,226,596
  4. Step 4: Simplify right side
    569,314x = 1,504,537,747,216
  5. Step 5: Solve for x
    x = 1,504,537,747,216/569,314
  6. Step 6: Final answer
    x = 2,642,720.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.