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Finding the Third Proportional to 599,311.13 and 1,316,719.13

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Solution

The third proportional to 599,311.13 and 1,316,719.13 is: 2,892,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,311.13 : 1,316,719.13 = 1,316,719.13 : x
  2. Step 2: Convert to fraction form
    599,311.13/1,316,719.13 = 1,316,719.13/x
  3. Step 3: Cross multiply
    599,311.13x = 1,316,719.13 × 1,316,719.13
  4. Step 4: Simplify right side
    599,311.13x = 1,733,749,254,140.77
  5. Step 5: Solve for x
    x = 1,733,749,254,140.77/599,311.13
  6. Step 6: Final answer
    x = 2,892,903.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.