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Finding the Third Proportional to 669,947.25 and 1,460,152.50

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Solution

The third proportional to 669,947.25 and 1,460,152.50 is: 3,182,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,947.25 : 1,460,152.50 = 1,460,152.50 : x
  2. Step 2: Convert to fraction form
    669,947.25/1,460,152.50 = 1,460,152.50/x
  3. Step 3: Cross multiply
    669,947.25x = 1,460,152.50 × 1,460,152.50
  4. Step 4: Simplify right side
    669,947.25x = 2,132,045,323,256.25
  5. Step 5: Solve for x
    x = 2,132,045,323,256.25/669,947.25
  6. Step 6: Final answer
    x = 3,182,407.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.