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Finding the Third Proportional to 666,953 and 1,460,406

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Solution

The third proportional to 666,953 and 1,460,406 is: 3,197,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,953 : 1,460,406 = 1,460,406 : x
  2. Step 2: Convert to fraction form
    666,953/1,460,406 = 1,460,406/x
  3. Step 3: Cross multiply
    666,953x = 1,460,406 × 1,460,406
  4. Step 4: Simplify right side
    666,953x = 2,132,785,684,836
  5. Step 5: Solve for x
    x = 2,132,785,684,836/666,953
  6. Step 6: Final answer
    x = 3,197,805.07

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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.