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Finding the Third Proportional to 470,775 and 1,036,563

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Solution

The third proportional to 470,775 and 1,036,563 is: 2,282,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,775 : 1,036,563 = 1,036,563 : x
  2. Step 2: Convert to fraction form
    470,775/1,036,563 = 1,036,563/x
  3. Step 3: Cross multiply
    470,775x = 1,036,563 × 1,036,563
  4. Step 4: Simplify right side
    470,775x = 1,074,462,852,969
  5. Step 5: Solve for x
    x = 1,074,462,852,969/470,775
  6. Step 6: Final answer
    x = 2,282,327.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.