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Finding the Third Proportional to 516,291.94 and 1,118,390.81

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Solution

The third proportional to 516,291.94 and 1,118,390.81 is: 2,422,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,291.94 : 1,118,390.81 = 1,118,390.81 : x
  2. Step 2: Convert to fraction form
    516,291.94/1,118,390.81 = 1,118,390.81/x
  3. Step 3: Cross multiply
    516,291.94x = 1,118,390.81 × 1,118,390.81
  4. Step 4: Simplify right side
    516,291.94x = 1,250,798,009,484.41
  5. Step 5: Solve for x
    x = 1,250,798,009,484.41/516,291.94
  6. Step 6: Final answer
    x = 2,422,656.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.