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Finding the Third Proportional to 458,206 and 958,140

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Solution

The third proportional to 458,206 and 958,140 is: 2,003,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,206 : 958,140 = 958,140 : x
  2. Step 2: Convert to fraction form
    458,206/958,140 = 958,140/x
  3. Step 3: Cross multiply
    458,206x = 958,140 × 958,140
  4. Step 4: Simplify right side
    458,206x = 918,032,259,600
  5. Step 5: Solve for x
    x = 918,032,259,600/458,206
  6. Step 6: Final answer
    x = 2,003,536.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.