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Finding the Third Proportional to 666,972 and 1,460,436

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Solution

The third proportional to 666,972 and 1,460,436 is: 3,197,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,972 : 1,460,436 = 1,460,436 : x
  2. Step 2: Convert to fraction form
    666,972/1,460,436 = 1,460,436/x
  3. Step 3: Cross multiply
    666,972x = 1,460,436 × 1,460,436
  4. Step 4: Simplify right side
    666,972x = 2,132,873,310,096
  5. Step 5: Solve for x
    x = 2,132,873,310,096/666,972
  6. Step 6: Final answer
    x = 3,197,845.35

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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.