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Finding the Third Proportional to 567,170 and 1,237,364

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Solution

The third proportional to 567,170 and 1,237,364 is: 2,699,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,170 : 1,237,364 = 1,237,364 : x
  2. Step 2: Convert to fraction form
    567,170/1,237,364 = 1,237,364/x
  3. Step 3: Cross multiply
    567,170x = 1,237,364 × 1,237,364
  4. Step 4: Simplify right side
    567,170x = 1,531,069,668,496
  5. Step 5: Solve for x
    x = 1,531,069,668,496/567,170
  6. Step 6: Final answer
    x = 2,699,489.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.