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Finding the Third Proportional to 965,568.09 and 1,460,779.31

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Solution

The third proportional to 965,568.09 and 1,460,779.31 is: 2,209,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,568.09 : 1,460,779.31 = 1,460,779.31 : x
  2. Step 2: Convert to fraction form
    965,568.09/1,460,779.31 = 1,460,779.31/x
  3. Step 3: Cross multiply
    965,568.09x = 1,460,779.31 × 1,460,779.31
  4. Step 4: Simplify right side
    965,568.09x = 2,133,876,199,827.97
  5. Step 5: Solve for x
    x = 2,133,876,199,827.97/965,568.09
  6. Step 6: Final answer
    x = 2,209,969.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.