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Finding the Third Proportional to 1,034,086.50 and 1,544,933.25

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Solution

The third proportional to 1,034,086.50 and 1,544,933.25 is: 2,308,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,086.50 : 1,544,933.25 = 1,544,933.25 : x
  2. Step 2: Convert to fraction form
    1,034,086.50/1,544,933.25 = 1,544,933.25/x
  3. Step 3: Cross multiply
    1,034,086.50x = 1,544,933.25 × 1,544,933.25
  4. Step 4: Simplify right side
    1,034,086.50x = 2,386,818,746,955.56
  5. Step 5: Solve for x
    x = 2,386,818,746,955.56/1,034,086.50
  6. Step 6: Final answer
    x = 2,308,142.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.