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Finding the Third Proportional to 488,271.38 and 1,069,635.38

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Solution

The third proportional to 488,271.38 and 1,069,635.38 is: 2,343,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,271.38 : 1,069,635.38 = 1,069,635.38 : x
  2. Step 2: Convert to fraction form
    488,271.38/1,069,635.38 = 1,069,635.38/x
  3. Step 3: Cross multiply
    488,271.38x = 1,069,635.38 × 1,069,635.38
  4. Step 4: Simplify right side
    488,271.38x = 1,144,119,835,451.39
  5. Step 5: Solve for x
    x = 1,144,119,835,451.39/488,271.38
  6. Step 6: Final answer
    x = 2,343,204.81

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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.