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Finding the Third Proportional to 568,521 and 1,225,170

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Solution

The third proportional to 568,521 and 1,225,170 is: 2,640,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,521 : 1,225,170 = 1,225,170 : x
  2. Step 2: Convert to fraction form
    568,521/1,225,170 = 1,225,170/x
  3. Step 3: Cross multiply
    568,521x = 1,225,170 × 1,225,170
  4. Step 4: Simplify right side
    568,521x = 1,501,041,528,900
  5. Step 5: Solve for x
    x = 1,501,041,528,900/568,521
  6. Step 6: Final answer
    x = 2,640,256.96

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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.