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Finding the Third Proportional to 417,686.63 and 910,365.75

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Solution

The third proportional to 417,686.63 and 910,365.75 is: 1,984,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,686.63 : 910,365.75 = 910,365.75 : x
  2. Step 2: Convert to fraction form
    417,686.63/910,365.75 = 910,365.75/x
  3. Step 3: Cross multiply
    417,686.63x = 910,365.75 × 910,365.75
  4. Step 4: Simplify right side
    417,686.63x = 828,765,798,773.06
  5. Step 5: Solve for x
    x = 828,765,798,773.06/417,686.63
  6. Step 6: Final answer
    x = 1,984,180.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.