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Finding the Third Proportional to 475,983 and 1,001,052

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Solution

The third proportional to 475,983 and 1,001,052 is: 2,105,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,983 : 1,001,052 = 1,001,052 : x
  2. Step 2: Convert to fraction form
    475,983/1,001,052 = 1,001,052/x
  3. Step 3: Cross multiply
    475,983x = 1,001,052 × 1,001,052
  4. Step 4: Simplify right side
    475,983x = 1,002,105,106,704
  5. Step 5: Solve for x
    x = 1,002,105,106,704/475,983
  6. Step 6: Final answer
    x = 2,105,338.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.