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Finding the Third Proportional to 568,624 and 1,207,232

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Solution

The third proportional to 568,624 and 1,207,232 is: 2,563,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,624 : 1,207,232 = 1,207,232 : x
  2. Step 2: Convert to fraction form
    568,624/1,207,232 = 1,207,232/x
  3. Step 3: Cross multiply
    568,624x = 1,207,232 × 1,207,232
  4. Step 4: Simplify right side
    568,624x = 1,457,409,101,824
  5. Step 5: Solve for x
    x = 1,457,409,101,824/568,624
  6. Step 6: Final answer
    x = 2,563,045.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.