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Finding the Third Proportional to 538,083 and 1,131,934.50

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Solution

The third proportional to 538,083 and 1,131,934.50 is: 2,381,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,083 : 1,131,934.50 = 1,131,934.50 : x
  2. Step 2: Convert to fraction form
    538,083/1,131,934.50 = 1,131,934.50/x
  3. Step 3: Cross multiply
    538,083x = 1,131,934.50 × 1,131,934.50
  4. Step 4: Simplify right side
    538,083x = 1,281,275,712,290.25
  5. Step 5: Solve for x
    x = 1,281,275,712,290.25/538,083
  6. Step 6: Final answer
    x = 2,381,186.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.