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Finding the Third Proportional to 543,712 and 1,279,370

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Solution

The third proportional to 543,712 and 1,279,370 is: 3,010,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,712 : 1,279,370 = 1,279,370 : x
  2. Step 2: Convert to fraction form
    543,712/1,279,370 = 1,279,370/x
  3. Step 3: Cross multiply
    543,712x = 1,279,370 × 1,279,370
  4. Step 4: Simplify right side
    543,712x = 1,636,787,596,900
  5. Step 5: Solve for x
    x = 1,636,787,596,900/543,712
  6. Step 6: Final answer
    x = 3,010,394.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.