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Finding the Third Proportional to 473,878.13 and 1,022,485.50

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Solution

The third proportional to 473,878.13 and 1,022,485.50 is: 2,206,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,878.13 : 1,022,485.50 = 1,022,485.50 : x
  2. Step 2: Convert to fraction form
    473,878.13/1,022,485.50 = 1,022,485.50/x
  3. Step 3: Cross multiply
    473,878.13x = 1,022,485.50 × 1,022,485.50
  4. Step 4: Simplify right side
    473,878.13x = 1,045,476,597,710.25
  5. Step 5: Solve for x
    x = 1,045,476,597,710.25/473,878.13
  6. Step 6: Final answer
    x = 2,206,214.09

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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.