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Finding the Third Proportional to 509,434,353 and 1,091,521,089

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Solution

The third proportional to 509,434,353 and 1,091,521,089 is: 2,338,708,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,434,353 : 1,091,521,089 = 1,091,521,089 : x
  2. Step 2: Convert to fraction form
    509,434,353/1,091,521,089 = 1,091,521,089/x
  3. Step 3: Cross multiply
    509,434,353x = 1,091,521,089 × 1,091,521,089
  4. Step 4: Simplify right side
    509,434,353x = 1,191,418,287,731,746,048
  5. Step 5: Solve for x
    x = 1,191,418,287,731,746,048/509,434,353
  6. Step 6: Final answer
    x = 2,338,708,178.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.