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Finding the Third Proportional to 502,958 and 1,091,635

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Solution

The third proportional to 502,958 and 1,091,635 is: 2,369,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,958 : 1,091,635 = 1,091,635 : x
  2. Step 2: Convert to fraction form
    502,958/1,091,635 = 1,091,635/x
  3. Step 3: Cross multiply
    502,958x = 1,091,635 × 1,091,635
  4. Step 4: Simplify right side
    502,958x = 1,191,666,973,225
  5. Step 5: Solve for x
    x = 1,191,666,973,225/502,958
  6. Step 6: Final answer
    x = 2,369,317.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.