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Finding the Third Proportional to 458,210 and 958,148

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Solution

The third proportional to 458,210 and 958,148 is: 2,003,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,210 : 958,148 = 958,148 : x
  2. Step 2: Convert to fraction form
    458,210/958,148 = 958,148/x
  3. Step 3: Cross multiply
    458,210x = 958,148 × 958,148
  4. Step 4: Simplify right side
    458,210x = 918,047,589,904
  5. Step 5: Solve for x
    x = 918,047,589,904/458,210
  6. Step 6: Final answer
    x = 2,003,552.06

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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.