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Finding the Third Proportional to 455,742.19 and 982,138.50

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Solution

The third proportional to 455,742.19 and 982,138.50 is: 2,116,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,742.19 : 982,138.50 = 982,138.50 : x
  2. Step 2: Convert to fraction form
    455,742.19/982,138.50 = 982,138.50/x
  3. Step 3: Cross multiply
    455,742.19x = 982,138.50 × 982,138.50
  4. Step 4: Simplify right side
    455,742.19x = 964,596,033,182.25
  5. Step 5: Solve for x
    x = 964,596,033,182.25/455,742.19
  6. Step 6: Final answer
    x = 2,116,538.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.