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Finding the Third Proportional to 803,907 and 1,673,967

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Solution

The third proportional to 803,907 and 1,673,967 is: 3,485,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,907 : 1,673,967 = 1,673,967 : x
  2. Step 2: Convert to fraction form
    803,907/1,673,967 = 1,673,967/x
  3. Step 3: Cross multiply
    803,907x = 1,673,967 × 1,673,967
  4. Step 4: Simplify right side
    803,907x = 2,802,165,517,089
  5. Step 5: Solve for x
    x = 2,802,165,517,089/803,907
  6. Step 6: Final answer
    x = 3,485,683.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.