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Finding the Third Proportional to 489,271.50 and 1,012,105.13

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Solution

The third proportional to 489,271.50 and 1,012,105.13 is: 2,093,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,271.50 : 1,012,105.13 = 1,012,105.13 : x
  2. Step 2: Convert to fraction form
    489,271.50/1,012,105.13 = 1,012,105.13/x
  3. Step 3: Cross multiply
    489,271.50x = 1,012,105.13 × 1,012,105.13
  4. Step 4: Simplify right side
    489,271.50x = 1,024,356,784,051.27
  5. Step 5: Solve for x
    x = 1,024,356,784,051.27/489,271.50
  6. Step 6: Final answer
    x = 2,093,636.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.