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Finding the Third Proportional to 965,784.94 and 1,311,663.38

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Solution

The third proportional to 965,784.94 and 1,311,663.38 is: 1,781,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,784.94 : 1,311,663.38 = 1,311,663.38 : x
  2. Step 2: Convert to fraction form
    965,784.94/1,311,663.38 = 1,311,663.38/x
  3. Step 3: Cross multiply
    965,784.94x = 1,311,663.38 × 1,311,663.38
  4. Step 4: Simplify right side
    965,784.94x = 1,720,460,809,316.39
  5. Step 5: Solve for x
    x = 1,720,460,809,316.39/965,784.94
  6. Step 6: Final answer
    x = 1,781,411.93

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Why These Related Problems?

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