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Finding the Third Proportional to 721,693.13 and 1,008,969.75

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Solution

The third proportional to 721,693.13 and 1,008,969.75 is: 1,410,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,693.13 : 1,008,969.75 = 1,008,969.75 : x
  2. Step 2: Convert to fraction form
    721,693.13/1,008,969.75 = 1,008,969.75/x
  3. Step 3: Cross multiply
    721,693.13x = 1,008,969.75 × 1,008,969.75
  4. Step 4: Simplify right side
    721,693.13x = 1,018,019,956,415.06
  5. Step 5: Solve for x
    x = 1,018,019,956,415.06/721,693.13
  6. Step 6: Final answer
    x = 1,410,599.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.