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Finding the Third Proportional to 458,440 and 1,002,080

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Solution

The third proportional to 458,440 and 1,002,080 is: 2,190,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,440 : 1,002,080 = 1,002,080 : x
  2. Step 2: Convert to fraction form
    458,440/1,002,080 = 1,002,080/x
  3. Step 3: Cross multiply
    458,440x = 1,002,080 × 1,002,080
  4. Step 4: Simplify right side
    458,440x = 1,004,164,326,400
  5. Step 5: Solve for x
    x = 1,004,164,326,400/458,440
  6. Step 6: Final answer
    x = 2,190,394.22

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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.