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Finding the Third Proportional to 706,839,744.50 and 1,138,907,123.50

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Solution

The third proportional to 706,839,744.50 and 1,138,907,123.50 is: 1,835,082,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,839,744.50 : 1,138,907,123.50 = 1,138,907,123.50 : x
  2. Step 2: Convert to fraction form
    706,839,744.50/1,138,907,123.50 = 1,138,907,123.50/x
  3. Step 3: Cross multiply
    706,839,744.50x = 1,138,907,123.50 × 1,138,907,123.50
  4. Step 4: Simplify right side
    706,839,744.50x = 1,297,109,435,959,044,352
  5. Step 5: Solve for x
    x = 1,297,109,435,959,044,352/706,839,744.50
  6. Step 6: Final answer
    x = 1,835,082,769.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.