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Finding the Third Proportional to 965,963.81 and 1,311,881.91

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Solution

The third proportional to 965,963.81 and 1,311,881.91 is: 1,781,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,963.81 : 1,311,881.91 = 1,311,881.91 : x
  2. Step 2: Convert to fraction form
    965,963.81/1,311,881.91 = 1,311,881.91/x
  3. Step 3: Cross multiply
    965,963.81x = 1,311,881.91 × 1,311,881.91
  4. Step 4: Simplify right side
    965,963.81x = 1,721,034,135,946.13
  5. Step 5: Solve for x
    x = 1,721,034,135,946.13/965,963.81
  6. Step 6: Final answer
    x = 1,781,675.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.