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Finding the Third Proportional to 965,584 and 1,460,800

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Solution

The third proportional to 965,584 and 1,460,800 is: 2,209,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,584 : 1,460,800 = 1,460,800 : x
  2. Step 2: Convert to fraction form
    965,584/1,460,800 = 1,460,800/x
  3. Step 3: Cross multiply
    965,584x = 1,460,800 × 1,460,800
  4. Step 4: Simplify right side
    965,584x = 2,133,936,640,000
  5. Step 5: Solve for x
    x = 2,133,936,640,000/965,584
  6. Step 6: Final answer
    x = 2,209,995.86

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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.