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Finding the Third Proportional to 456,772 and 1,004,669

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Solution

The third proportional to 456,772 and 1,004,669 is: 2,209,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,772 : 1,004,669 = 1,004,669 : x
  2. Step 2: Convert to fraction form
    456,772/1,004,669 = 1,004,669/x
  3. Step 3: Cross multiply
    456,772x = 1,004,669 × 1,004,669
  4. Step 4: Simplify right side
    456,772x = 1,009,359,799,561
  5. Step 5: Solve for x
    x = 1,009,359,799,561/456,772
  6. Step 6: Final answer
    x = 2,209,767.24

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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.