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Finding the Third Proportional to 568,596 and 1,225,758

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Solution

The third proportional to 568,596 and 1,225,758 is: 2,642,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,596 : 1,225,758 = 1,225,758 : x
  2. Step 2: Convert to fraction form
    568,596/1,225,758 = 1,225,758/x
  3. Step 3: Cross multiply
    568,596x = 1,225,758 × 1,225,758
  4. Step 4: Simplify right side
    568,596x = 1,502,482,674,564
  5. Step 5: Solve for x
    x = 1,502,482,674,564/568,596
  6. Step 6: Final answer
    x = 2,642,443.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.