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Finding the Third Proportional to 964,384.31 and 1,322,434.69

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Solution

The third proportional to 964,384.31 and 1,322,434.69 is: 1,813,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,384.31 : 1,322,434.69 = 1,322,434.69 : x
  2. Step 2: Convert to fraction form
    964,384.31/1,322,434.69 = 1,322,434.69/x
  3. Step 3: Cross multiply
    964,384.31x = 1,322,434.69 × 1,322,434.69
  4. Step 4: Simplify right side
    964,384.31x = 1,748,833,502,703.22
  5. Step 5: Solve for x
    x = 1,748,833,502,703.22/964,384.31
  6. Step 6: Final answer
    x = 1,813,419.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.