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Finding the Third Proportional to 650,851 and 1,001,057

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Solution

The third proportional to 650,851 and 1,001,057 is: 1,539,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,851 : 1,001,057 = 1,001,057 : x
  2. Step 2: Convert to fraction form
    650,851/1,001,057 = 1,001,057/x
  3. Step 3: Cross multiply
    650,851x = 1,001,057 × 1,001,057
  4. Step 4: Simplify right side
    650,851x = 1,002,115,117,249
  5. Step 5: Solve for x
    x = 1,002,115,117,249/650,851
  6. Step 6: Final answer
    x = 1,539,699.74

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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.