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Finding the Third Proportional to 465,976.13 and 1,005,345

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Solution

The third proportional to 465,976.13 and 1,005,345 is: 2,169,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,976.13 : 1,005,345 = 1,005,345 : x
  2. Step 2: Convert to fraction form
    465,976.13/1,005,345 = 1,005,345/x
  3. Step 3: Cross multiply
    465,976.13x = 1,005,345 × 1,005,345
  4. Step 4: Simplify right side
    465,976.13x = 1,010,718,569,025
  5. Step 5: Solve for x
    x = 1,010,718,569,025/465,976.13
  6. Step 6: Final answer
    x = 2,169,035.10

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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.