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Finding the Third Proportional to 470,610 and 966,238.88

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Solution

The third proportional to 470,610 and 966,238.88 is: 1,983,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,610 : 966,238.88 = 966,238.88 : x
  2. Step 2: Convert to fraction form
    470,610/966,238.88 = 966,238.88/x
  3. Step 3: Cross multiply
    470,610x = 966,238.88 × 966,238.88
  4. Step 4: Simplify right side
    470,610x = 933,617,563,561.27
  5. Step 5: Solve for x
    x = 933,617,563,561.27/470,610
  6. Step 6: Final answer
    x = 1,983,845.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.