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Finding the Third Proportional to 650,855 and 1,001,063

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Solution

The third proportional to 650,855 and 1,001,063 is: 1,539,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,855 : 1,001,063 = 1,001,063 : x
  2. Step 2: Convert to fraction form
    650,855/1,001,063 = 1,001,063/x
  3. Step 3: Cross multiply
    650,855x = 1,001,063 × 1,001,063
  4. Step 4: Simplify right side
    650,855x = 1,002,127,129,969
  5. Step 5: Solve for x
    x = 1,002,127,129,969/650,855
  6. Step 6: Final answer
    x = 1,539,708.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.