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Finding the Third Proportional to 727,132 and 1,553,243

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Solution

The third proportional to 727,132 and 1,553,243 is: 3,317,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,132 : 1,553,243 = 1,553,243 : x
  2. Step 2: Convert to fraction form
    727,132/1,553,243 = 1,553,243/x
  3. Step 3: Cross multiply
    727,132x = 1,553,243 × 1,553,243
  4. Step 4: Simplify right side
    727,132x = 2,412,563,817,049
  5. Step 5: Solve for x
    x = 2,412,563,817,049/727,132
  6. Step 6: Final answer
    x = 3,317,917.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.