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Finding the Third Proportional to 432,569 and 1,010,642

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Solution

The third proportional to 432,569 and 1,010,642 is: 2,361,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,569 : 1,010,642 = 1,010,642 : x
  2. Step 2: Convert to fraction form
    432,569/1,010,642 = 1,010,642/x
  3. Step 3: Cross multiply
    432,569x = 1,010,642 × 1,010,642
  4. Step 4: Simplify right side
    432,569x = 1,021,397,252,164
  5. Step 5: Solve for x
    x = 1,021,397,252,164/432,569
  6. Step 6: Final answer
    x = 2,361,235.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.