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Finding the Third Proportional to 638,714 and 1,001,955

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Solution

The third proportional to 638,714 and 1,001,955 is: 1,571,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,714 : 1,001,955 = 1,001,955 : x
  2. Step 2: Convert to fraction form
    638,714/1,001,955 = 1,001,955/x
  3. Step 3: Cross multiply
    638,714x = 1,001,955 × 1,001,955
  4. Step 4: Simplify right side
    638,714x = 1,003,913,822,025
  5. Step 5: Solve for x
    x = 1,003,913,822,025/638,714
  6. Step 6: Final answer
    x = 1,571,773.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.