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Finding the Third Proportional to 469,808 and 1,032,928

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Solution

The third proportional to 469,808 and 1,032,928 is: 2,271,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,808 : 1,032,928 = 1,032,928 : x
  2. Step 2: Convert to fraction form
    469,808/1,032,928 = 1,032,928/x
  3. Step 3: Cross multiply
    469,808x = 1,032,928 × 1,032,928
  4. Step 4: Simplify right side
    469,808x = 1,066,940,253,184
  5. Step 5: Solve for x
    x = 1,066,940,253,184/469,808
  6. Step 6: Final answer
    x = 2,271,013.38

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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.