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Finding the Third Proportional to 666,977 and 1,460,446

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Solution

The third proportional to 666,977 and 1,460,446 is: 3,197,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,977 : 1,460,446 = 1,460,446 : x
  2. Step 2: Convert to fraction form
    666,977/1,460,446 = 1,460,446/x
  3. Step 3: Cross multiply
    666,977x = 1,460,446 × 1,460,446
  4. Step 4: Simplify right side
    666,977x = 2,132,902,518,916
  5. Step 5: Solve for x
    x = 2,132,902,518,916/666,977
  6. Step 6: Final answer
    x = 3,197,865.17

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Why These Related Problems?

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