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Finding the Third Proportional to 666,982 and 1,460,456

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Solution

The third proportional to 666,982 and 1,460,456 is: 3,197,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,982 : 1,460,456 = 1,460,456 : x
  2. Step 2: Convert to fraction form
    666,982/1,460,456 = 1,460,456/x
  3. Step 3: Cross multiply
    666,982x = 1,460,456 × 1,460,456
  4. Step 4: Simplify right side
    666,982x = 2,132,931,727,936
  5. Step 5: Solve for x
    x = 2,132,931,727,936/666,982
  6. Step 6: Final answer
    x = 3,197,884.99

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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.