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Finding the Third Proportional to 666,926 and 1,460,940

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Solution

The third proportional to 666,926 and 1,460,940 is: 3,200,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,926 : 1,460,940 = 1,460,940 : x
  2. Step 2: Convert to fraction form
    666,926/1,460,940 = 1,460,940/x
  3. Step 3: Cross multiply
    666,926x = 1,460,940 × 1,460,940
  4. Step 4: Simplify right side
    666,926x = 2,134,345,683,600
  5. Step 5: Solve for x
    x = 2,134,345,683,600/666,926
  6. Step 6: Final answer
    x = 3,200,273.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.