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Finding the Third Proportional to 666,404 and 1,462,498

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Solution

The third proportional to 666,404 and 1,462,498 is: 3,209,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,404 : 1,462,498 = 1,462,498 : x
  2. Step 2: Convert to fraction form
    666,404/1,462,498 = 1,462,498/x
  3. Step 3: Cross multiply
    666,404x = 1,462,498 × 1,462,498
  4. Step 4: Simplify right side
    666,404x = 2,138,900,400,004
  5. Step 5: Solve for x
    x = 2,138,900,400,004/666,404
  6. Step 6: Final answer
    x = 3,209,615.19

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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.