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Finding the Third Proportional to 458,435 and 1,002,072

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Solution

The third proportional to 458,435 and 1,002,072 is: 2,190,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,435 : 1,002,072 = 1,002,072 : x
  2. Step 2: Convert to fraction form
    458,435/1,002,072 = 1,002,072/x
  3. Step 3: Cross multiply
    458,435x = 1,002,072 × 1,002,072
  4. Step 4: Simplify right side
    458,435x = 1,004,148,293,184
  5. Step 5: Solve for x
    x = 1,004,148,293,184/458,435
  6. Step 6: Final answer
    x = 2,190,383.14

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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.