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Finding the Third Proportional to 478,308.38 and 1,049,918.63

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Solution

The third proportional to 478,308.38 and 1,049,918.63 is: 2,304,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,308.38 : 1,049,918.63 = 1,049,918.63 : x
  2. Step 2: Convert to fraction form
    478,308.38/1,049,918.63 = 1,049,918.63/x
  3. Step 3: Cross multiply
    478,308.38x = 1,049,918.63 × 1,049,918.63
  4. Step 4: Simplify right side
    478,308.38x = 1,102,329,119,121.89
  5. Step 5: Solve for x
    x = 1,102,329,119,121.89/478,308.38
  6. Step 6: Final answer
    x = 2,304,641.06

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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.