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Finding the Third Proportional to 726,946 and 1,586,080

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Solution

The third proportional to 726,946 and 1,586,080 is: 3,460,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,946 : 1,586,080 = 1,586,080 : x
  2. Step 2: Convert to fraction form
    726,946/1,586,080 = 1,586,080/x
  3. Step 3: Cross multiply
    726,946x = 1,586,080 × 1,586,080
  4. Step 4: Simplify right side
    726,946x = 2,515,649,766,400
  5. Step 5: Solve for x
    x = 2,515,649,766,400/726,946
  6. Step 6: Final answer
    x = 3,460,573.09

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Why These Related Problems?

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