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Finding the Third Proportional to 513,496.13 and 1,095,688.13

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Solution

The third proportional to 513,496.13 and 1,095,688.13 is: 2,337,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,496.13 : 1,095,688.13 = 1,095,688.13 : x
  2. Step 2: Convert to fraction form
    513,496.13/1,095,688.13 = 1,095,688.13/x
  3. Step 3: Cross multiply
    513,496.13x = 1,095,688.13 × 1,095,688.13
  4. Step 4: Simplify right side
    513,496.13x = 1,200,532,467,266.02
  5. Step 5: Solve for x
    x = 1,200,532,467,266.02/513,496.13
  6. Step 6: Final answer
    x = 2,337,958.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.