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Finding the Third Proportional to 515,404 and 1,044,658

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Solution

The third proportional to 515,404 and 1,044,658 is: 2,117,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,404 : 1,044,658 = 1,044,658 : x
  2. Step 2: Convert to fraction form
    515,404/1,044,658 = 1,044,658/x
  3. Step 3: Cross multiply
    515,404x = 1,044,658 × 1,044,658
  4. Step 4: Simplify right side
    515,404x = 1,091,310,336,964
  5. Step 5: Solve for x
    x = 1,091,310,336,964/515,404
  6. Step 6: Final answer
    x = 2,117,388.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.