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Finding the Third Proportional to 405,878.63 and 880,921.13

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Solution

The third proportional to 405,878.63 and 880,921.13 is: 1,911,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,878.63 : 880,921.13 = 880,921.13 : x
  2. Step 2: Convert to fraction form
    405,878.63/880,921.13 = 880,921.13/x
  3. Step 3: Cross multiply
    405,878.63x = 880,921.13 × 880,921.13
  4. Step 4: Simplify right side
    405,878.63x = 776,022,028,471.27
  5. Step 5: Solve for x
    x = 776,022,028,471.27/405,878.63
  6. Step 6: Final answer
    x = 1,911,955.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.