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Finding the Third Proportional to 540,011.81 and 1,181,719.13

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Solution

The third proportional to 540,011.81 and 1,181,719.13 is: 2,585,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,011.81 : 1,181,719.13 = 1,181,719.13 : x
  2. Step 2: Convert to fraction form
    540,011.81/1,181,719.13 = 1,181,719.13/x
  3. Step 3: Cross multiply
    540,011.81x = 1,181,719.13 × 1,181,719.13
  4. Step 4: Simplify right side
    540,011.81x = 1,396,460,090,390.77
  5. Step 5: Solve for x
    x = 1,396,460,090,390.77/540,011.81
  6. Step 6: Final answer
    x = 2,585,980.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.