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Finding the Third Proportional to 458,240 and 1,006,138

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Solution

The third proportional to 458,240 and 1,006,138 is: 2,209,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,240 : 1,006,138 = 1,006,138 : x
  2. Step 2: Convert to fraction form
    458,240/1,006,138 = 1,006,138/x
  3. Step 3: Cross multiply
    458,240x = 1,006,138 × 1,006,138
  4. Step 4: Simplify right side
    458,240x = 1,012,313,675,044
  5. Step 5: Solve for x
    x = 1,012,313,675,044/458,240
  6. Step 6: Final answer
    x = 2,209,134.24

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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.