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Finding the Third Proportional to 473,494.99 and 1,035,563.48

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Solution

The third proportional to 473,494.99 and 1,035,563.48 is: 2,264,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,494.99 : 1,035,563.48 = 1,035,563.48 : x
  2. Step 2: Convert to fraction form
    473,494.99/1,035,563.48 = 1,035,563.48/x
  3. Step 3: Cross multiply
    473,494.99x = 1,035,563.48 × 1,035,563.48
  4. Step 4: Simplify right side
    473,494.99x = 1,072,391,730,170.89
  5. Step 5: Solve for x
    x = 1,072,391,730,170.89/473,494.99
  6. Step 6: Final answer
    x = 2,264,842.81

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