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Finding the Third Proportional to 426,116.81 and 911,333.25

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Solution

The third proportional to 426,116.81 and 911,333.25 is: 1,949,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,116.81 : 911,333.25 = 911,333.25 : x
  2. Step 2: Convert to fraction form
    426,116.81/911,333.25 = 911,333.25/x
  3. Step 3: Cross multiply
    426,116.81x = 911,333.25 × 911,333.25
  4. Step 4: Simplify right side
    426,116.81x = 830,528,292,555.56
  5. Step 5: Solve for x
    x = 830,528,292,555.56/426,116.81
  6. Step 6: Final answer
    x = 1,949,062.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.