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Finding the Third Proportional to 465,080 and 1,004,496

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Solution

The third proportional to 465,080 and 1,004,496 is: 2,169,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,080 : 1,004,496 = 1,004,496 : x
  2. Step 2: Convert to fraction form
    465,080/1,004,496 = 1,004,496/x
  3. Step 3: Cross multiply
    465,080x = 1,004,496 × 1,004,496
  4. Step 4: Simplify right side
    465,080x = 1,009,012,214,016
  5. Step 5: Solve for x
    x = 1,009,012,214,016/465,080
  6. Step 6: Final answer
    x = 2,169,545.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.