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Finding the Third Proportional to 1,586,475.38 and 2,416,892.06

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Solution

The third proportional to 1,586,475.38 and 2,416,892.06 is: 3,681,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,475.38 : 2,416,892.06 = 2,416,892.06 : x
  2. Step 2: Convert to fraction form
    1,586,475.38/2,416,892.06 = 2,416,892.06/x
  3. Step 3: Cross multiply
    1,586,475.38x = 2,416,892.06 × 2,416,892.06
  4. Step 4: Simplify right side
    1,586,475.38x = 5,841,367,241,775.50
  5. Step 5: Solve for x
    x = 5,841,367,241,775.50/1,586,475.38
  6. Step 6: Final answer
    x = 3,681,977.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.