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Finding the Third Proportional to 621,198 and 1,358,712

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Solution

The third proportional to 621,198 and 1,358,712 is: 2,971,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,198 : 1,358,712 = 1,358,712 : x
  2. Step 2: Convert to fraction form
    621,198/1,358,712 = 1,358,712/x
  3. Step 3: Cross multiply
    621,198x = 1,358,712 × 1,358,712
  4. Step 4: Simplify right side
    621,198x = 1,846,098,298,944
  5. Step 5: Solve for x
    x = 1,846,098,298,944/621,198
  6. Step 6: Final answer
    x = 2,971,835.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.