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Finding the Third Proportional to 666,975 and 1,460,442

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Solution

The third proportional to 666,975 and 1,460,442 is: 3,197,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,975 : 1,460,442 = 1,460,442 : x
  2. Step 2: Convert to fraction form
    666,975/1,460,442 = 1,460,442/x
  3. Step 3: Cross multiply
    666,975x = 1,460,442 × 1,460,442
  4. Step 4: Simplify right side
    666,975x = 2,132,890,835,364
  5. Step 5: Solve for x
    x = 2,132,890,835,364/666,975
  6. Step 6: Final answer
    x = 3,197,857.24

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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.