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Finding the Third Proportional to 540,712 and 1,115,696

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Solution

The third proportional to 540,712 and 1,115,696 is: 2,302,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,712 : 1,115,696 = 1,115,696 : x
  2. Step 2: Convert to fraction form
    540,712/1,115,696 = 1,115,696/x
  3. Step 3: Cross multiply
    540,712x = 1,115,696 × 1,115,696
  4. Step 4: Simplify right side
    540,712x = 1,244,777,564,416
  5. Step 5: Solve for x
    x = 1,244,777,564,416/540,712
  6. Step 6: Final answer
    x = 2,302,108.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.