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Finding the Third Proportional to 666,976 and 1,460,444

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Solution

The third proportional to 666,976 and 1,460,444 is: 3,197,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,976 : 1,460,444 = 1,460,444 : x
  2. Step 2: Convert to fraction form
    666,976/1,460,444 = 1,460,444/x
  3. Step 3: Cross multiply
    666,976x = 1,460,444 × 1,460,444
  4. Step 4: Simplify right side
    666,976x = 2,132,896,677,136
  5. Step 5: Solve for x
    x = 2,132,896,677,136/666,976
  6. Step 6: Final answer
    x = 3,197,861.21

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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.