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Finding the Third Proportional to 610,520 and 1,342,843

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Solution

The third proportional to 610,520 and 1,342,843 is: 2,953,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,520 : 1,342,843 = 1,342,843 : x
  2. Step 2: Convert to fraction form
    610,520/1,342,843 = 1,342,843/x
  3. Step 3: Cross multiply
    610,520x = 1,342,843 × 1,342,843
  4. Step 4: Simplify right side
    610,520x = 1,803,227,322,649
  5. Step 5: Solve for x
    x = 1,803,227,322,649/610,520
  6. Step 6: Final answer
    x = 2,953,592.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.