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Finding the Third Proportional to 470,769 and 1,028,961

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Solution

The third proportional to 470,769 and 1,028,961 is: 2,249,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,769 : 1,028,961 = 1,028,961 : x
  2. Step 2: Convert to fraction form
    470,769/1,028,961 = 1,028,961/x
  3. Step 3: Cross multiply
    470,769x = 1,028,961 × 1,028,961
  4. Step 4: Simplify right side
    470,769x = 1,058,760,739,521
  5. Step 5: Solve for x
    x = 1,058,760,739,521/470,769
  6. Step 6: Final answer
    x = 2,249,002.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.