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Finding the Third Proportional to 677,001 and 1,486,842

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Solution

The third proportional to 677,001 and 1,486,842 is: 3,265,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,001 : 1,486,842 = 1,486,842 : x
  2. Step 2: Convert to fraction form
    677,001/1,486,842 = 1,486,842/x
  3. Step 3: Cross multiply
    677,001x = 1,486,842 × 1,486,842
  4. Step 4: Simplify right side
    677,001x = 2,210,699,132,964
  5. Step 5: Solve for x
    x = 2,210,699,132,964/677,001
  6. Step 6: Final answer
    x = 3,265,429.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.